Scientia Professor Fedor Sukochev

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RESEARCH INTERESTS
��
Non-commutative functional analysis and its applications to non-commutative geometry;

Banach space geometry and its applications��

Phone

9385 6967

E-mail

f.sukochev@unsw.edu.au

Location

School of Mathematics and Statistics University of New South Wales Sydney NSW 2052 The Red Centre Room 5109

Books | 2023

Carey A; Gesztesy F; Levitina G; Nichols R; Sukochev F; Zanin D, 2023, The Limiting Absorption Principle for Massless Dirac Operators, Properties of Spectral Shift Functions, and an Application to the Witten Index of Non-Fredholm Operators, EMS Press,

Books | 2023

Lord S; McDonald E; Sukochev F; Zanin D, 2023, Singular Traces: Second Edition,

Books | 2019

Buskes G; de Jeu M; Dodds P; Schep A; Sukochev F; van Neerven J; Wickstead A, 2019, Preface

Books | 2012

Lord S; Sukochev F; Zanin DV, 2012, Singular Traces: Theory and Applications, Original, Walter de Gruyter GmbH, Germany
Book Chapters | 2023

Dodds PG; de Pagter B; Sukochev FA, 2023, 'Noncommutative Integration and Operator Theory', in Progress in Mathematics, pp. 1 - 572,

Book Chapters | 2020

Levitina G; Sukochev F, 2020, 'Quantised Calculus for Perturbed Massive Dirac Operator on Noncommutative Euclidean Space', in Spectral Theory and Mathematical Physics, Springer International Publishing, pp. 179 - 198,

Book Chapters | 2020

Lord S; Zanin D; Sukochev F, 2020, 'Advances in Dixmier traces and applications', in Advances in Noncommutative Geometry On the Occasion of Alain Connes' 70th Birthday, Springer Nature, pp. 491 - 593

Book Chapters | 2019

Potapov D; Sukochev F; Vella D; Zanin D, 2019, 'A residue formula for locally compact noncommutative manifolds', in Positivity and Noncommutative Analysis, pp. 471 - 510,

Book Chapters | 2015

Gesztesy F; Latushkin Y; Sukochev F; Tomilov Y, 2015, 'Some operator bounds employing complex interpolation revisited', in Arendt W; Chill R; Tomilov Y (ed.), Operator Semigroups Meet Complex Analysis, Harmonic Analysis and Mathematical Physics, Springer International Publishing, pp. 213 - 239,

Book Chapters | 2013

Sukochev F, 2013, 'On a conjecture of A. Bikchentaev', in , American Mathematical Society, pp. 327 - 339,

Book Chapters | 2006

Sukochev F; Benameur MT; Carey AL; Phillips J; Rennie A; Wojciechowski KP, 2006, 'Analytic formulae for Spectral Flow in von Neumann algebras', in Booss Bavnbek B; Klimek S; Lesch M; Zhang W (ed.), Analysis, Geometry and topology of elliptic operators, edn. Original, World Scientific, Singapore
Journal articles | 2025

Pliev M; Sukochev F, 2025, 'Orthogonally additive operators on complex vector lattices', Journal of Mathematical Analysis and Applications, 541,

Journal articles | 2024

Ber A; Chilin V; Sukochev F, 2024, 'Derivations in disjointly complete commutative regular algebras', Quaestiones Mathematicae, 47, pp. 23 - 86,

Journal articles | 2024

Ber A; Huang J; Sukochev F, 2024, 'Linear isometries of noncommutative L0-spaces', Bulletin of the London Mathematical Society, 56, pp. 2075 - 2092,

Journal articles | 2024

Huang J; Nessipbayev Y; Pliev M; Sukochev F, 2024, 'THE GELFAND–PHILLIPS AND DUNFORD–PETTIS TYPE PROPERTIES IN BIMODULES OF MEASURABLE OPERATORS', Transactions of the American Mathematical Society, 377, pp. 6097 - 6149,

Journal articles | 2024

Kordyukov Y; Sukochev F; Zanin D, 2024, '$C^{\ast}$-algebraic approach to the principal symbol. III', Journal of Noncommutative Geometry, 18, pp. 1265 - 1314,

Journal articles | 2023

Astashkin S; Huang J; Pliev M; Sukochev F; Zanin D, 2023, 'Optimal Range of Haar Martingale Transforms and Its Applications', International Mathematics Research Notices, 2023, pp. 20827 - 20854,

Journal articles | 2023

Ber A; Huang J; Kudaybergenov K; Sukochev F, 2023, 'Non-existence of translation-invariant derivations on algebras of measurable functions', Quaestiones Mathematicae, 46, pp. 909 - 926,

Journal articles | 2023

Ber A; Huang J; Sukochev F, 2023, 'Norms of skew-adjoint derivations with values in the predual of a semifinite von Neumann algebra', Journal of Functional Analysis, 285,

Journal articles | 2023

Ber A; Sukochev F; Zanin D; Zhao H, 2023, 'Diagonality modulo hybrid Lorentz-(p,1) ideals in semifinite factors', Journal of Functional Analysis, 285,

Journal articles | 2023

Ber AF; Borst MJ; Borst SJ; Sukochev FA, 2023, 'A solution to the multidimensional additive homological equation', Izvestiya Mathematics, 87, pp. 201 - 251,

Journal articles | 2023

Dzhusoeva N; Huang J; Pliev M; Sukochev F, 2023, 'Lateral order on complex vector lattices and narrow operators', Mathematische Nachrichten, 296, pp. 5157 - 5170,

Journal articles | 2023

Frank RL; Sukochev F; Zanin D, 2023, 'ASYMPTOTICS OF SINGULAR VALUES FOR QUANTUM DERIVATIVES', Transactions of the American Mathematical Society, 376, pp. 2047 - 2088,

Journal articles | 2023

Huang J; Kudaybergenov K; Sukochev F, 2023, 'Ring derivations of Murray–von Neumann algebras', Linear Algebra and Its Applications, 672, pp. 28 - 52,

Journal articles | 2023

Huang J; Pliev M; Sukochev F, 2023, '(Strongly-)Dunford–Pettis Operators and Narrow Operators', Integral Equations and Operator Theory, 95,

Journal articles | 2023

Huang J; Pliev M; Sukochev F, 2023, 'A NONCOMMUTATIVE GRETSKY–OSTROY THEOREM AND ITS APPLICATIONS', Proceedings of the American Mathematical Society, 151, pp. 1147 - 1155,

Journal articles | 2023

Huang J; Sukochev F, 2023, 'Derivations with values in noncommutative symmetric spaces', Comptes Rendus Mathematique, 361, pp. 1357 - 1365,

Journal articles | 2023

Huang J; Sukochev F, 2023, 'Hermitian operators and isometries on symmetric operator spaces', Journal of the European Mathematical Society,

Journal articles | 2023

Jiao Y; Sukochev F; Wu L; Zanin D, 2023, 'Distributional inequalities for noncommutative martingales', Journal of Functional Analysis, 284,

Journal articles | 2023

McDonald E; Sukochev F; Zanin D, 2023, 'Spectral estimates and asymptotics for stratified Lie groups', Journal of Functional Analysis, 285,

Journal articles | 2023

Pliev M; Sukochev F, 2023, 'Narrow operators on tensor products of Köthe spaces', Journal of Mathematical Analysis and Applications, 522, pp. 126950 - 126950,

Journal articles | 2023

Semenov E; Sukochev F; Usachev A, 2023, 'Banach Limits and Their Applications', Notices of the American Mathematical Society, 70, pp. 918 - 925,

Journal articles | 2023

Sukochev F; Veksler A, 2023, 'On special representations of automorphisms of σ -finite measure spaces using Poincare recurrence theorem and Hopf decomposition', Advances in Operator Theory, 8,

Journal articles | 2023

Sukochev F; Xiong X; Zanin D, 2023, 'Asymptotics of singular values for quantised derivatives on noncommutative tori', Journal of Functional Analysis, 285, pp. 110021 - 110021,

Journal articles | 2023

Sukochev F; Zanin D, 2023, 'Optimal Cwikel–Solomyak Estimates', Journal of Fourier Analysis and Applications, 29,

Journal articles | 2023

Sukochev F; Zanin D, 2023, 'Resolution of a problem by Simon concerning Schrödinger operators via methods from noncommutative geometry', Journal d'Analyse Mathematique, 149, pp. 555 - 562,

Journal articles | 2023

Sukochev F; Zanin D, 2023, 'SYMMETRIC BANACH SEQUENCE SPACES RESPECT WEYL SUBMAJORIZATION', PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 151, pp. 2907 - 2917,

Journal articles | 2023

Zanin DV; Sukochev FA, 2023, 'Connes Integration Formula: A Constructive Approach', Functional Analysis and its Applications, 57, pp. 40 - 59,

Journal articles | 2023

Zanin DV; Sukochev FA, 2023, 'Формула интегрирования Конна - конструктивный подход', Функциональный анализ и его приложения, 57, pp. 52 - 76,

Journal articles | 2023

Бер АФ; Ber AF; Борст М; Borst M; Борст С; Borst S; Сукочев ФА; Sukochev FA, 2023, 'Решение многомерного аддитивного гомологического уравнения', Известия Российской академии наук. Серия математическая, 87, pp. 3 - 55,

Journal articles | 2022

Astashkin S; Sukochev F; Zanin D, 2022, 'The distribution of a random variable whose independent copies span ℓM is unique', Revista Matematica Complutense, 35, pp. 815 - 834,

Journal articles | 2022

Azamov N; Hekkelman E; McDonald E; Sukochev F; Zanin D, 2022, 'An application of singular traces to crystals and percolation', Journal of Geometry and Physics, 179, pp. 104608 - 104608,

Journal articles | 2022

Azamov N; McDonald E; Sukochev F; Zanin D, 2022, 'THE DENSITY OF STATES DEPENDS ON THE DOMAIN', Operators and Matrices, 16, pp. 1185 - 1189,

Journal articles | 2022

Ber A; Huang J; Levitina G; Sukochev F, 2022, 'Derivations with Values in the Ideal of τ -Compact Operators Affiliated with a Semifinite von Neumann Algebra', Communications in Mathematical Physics, 390, pp. 577 - 616,

Journal articles | 2022

Ber A; Kudaybergenov K; Sukochev F, 2022, 'Derivations of Murray-von Neumann algebras', Journal fur die Reine und Angewandte Mathematik, 2022, pp. 283 - 301,

Journal articles | 2022

Carey A; Levitina G; Potapov D; Sukochev F, 2022, 'The Witten index and the spectral shift function', Reviews in Mathematical Physics, 34,

Journal articles | 2022

Coine C; Le Merdy C; Sukochev F, 2022, 'When do triple operator integrals take value in the trace class?', Annales de l'Institut Fourier, 71, pp. 1393 - 1448,

Journal articles | 2022

Huang J; Pliev M; Sukochev F, 2022, '(Non-)Dunford–Pettis operators on noncommutative symmetric spaces', Journal of Functional Analysis, 282,

Journal articles | 2022

Huang J; Pliev M; Sukochev F, 2022, 'On Narrow Operators from Lp into Operator Ideals', Mediterranean Journal of Mathematics, 19,

Journal articles | 2022

Huang J; Pliev M; Sukochev F, 2022, 'ℓ2-STRICTLY SINGULAR OPERATORS ON THE PREDUAL OF A HYPERFINITE VON NEUMANN ALGEBRA', Proceedings of the American Mathematical Society, 150, pp. 1623 - 1633,

Journal articles | 2022

Huang J; Sadovskaya O; Sukochev F, 2022, 'On Arazy's problem concerning isomorphic embeddings of ideals of compact operators', Advances in Mathematics, 406,

Journal articles | 2022

Huang J; Sukochev F; Zanin D, 2022, 'Operator θ-Hölder functions with respect to (Formula presented.)', Journal of the London Mathematical Society, 105, pp. 2436 - 2477,

Journal articles | 2022

Huang J; Sukochev F; Zanin D, 2022, 'Optimal estimates for martingale transforms', Journal of Functional Analysis, 282,

Journal articles | 2022

Jiao Y; Sukochev F; Xie G; Zanin D, 2022, 'Free Rosenthal Inequalities on Vector-Valued Symmetric Operator Spaces', International Mathematics Research Notices, 2022, pp. 16634 - 16671,

Journal articles | 2022

McDonald E; Sukochev F; Zanin D, 2022, 'A noncommutative Tauberian theorem and Weyl asymptotics in noncommutative geometry', Letters in Mathematical Physics, 112,

Journal articles | 2022

McDonald E; Sukochev F, 2022, 'Lipschitz estimates in quasi-Banach Schatten ideals', Mathematische Annalen, 383, pp. 571 - 619,

Journal articles | 2022

Semenov E; Sukochev F; Zanin D, 2022, 'Independent sequences, monotonicity of Banach limits and applications to noncommutative geometry', Journal of Mathematical Analysis and Applications, 510,

Journal articles | 2022

Sukochev F; Tulenov K; Zanin D, 2022, 'A weak type (1, 1) estimate for the Hilbert operator in higher-dimensional setting', Studia Mathematica, 265, pp. 241 - 256,

Journal articles | 2022

Sukochev FA; Zanin DV, 2022, 'Solomyak-type eigenvalue estimates for the Birman-Schwinger operator', Sbornik Mathematics, 213, pp. 1250 - 1289,

Journal articles | 2022

Sukochev FA; Zanin DV, 2022, 'Оценки Соломяка для оператора Бирмана-Швингера', Математический сборник, 213, pp. 97 - 137,

Journal articles | 2021

Ber A; Borst M; Sukochev F, 2021, 'Full proof of Kwapien's theorem on representing bounded mean zero functions on [0; 1]', Studia Mathematica, 259, pp. 241 - 270,

Journal articles | 2021

Bikchentaev A; Sukochev F, 2021, 'Inequalities for the block projection operators', Journal of Functional Analysis, 280,

Journal articles | 2021

Caspers M; Sukochev F; Zanin D, 2021, 'Weak (1,1) estimates for multiple operator integrals and generalized absolute value functions', Israel Journal of Mathematics, 244, pp. 245 - 271,

Journal articles | 2021

Coine C; Le Merdy C; Sukochev F, 2021, 'When do triple operator integrals take value in the trace class?', ANNALES DE L INSTITUT FOURIER, 71, pp. 1393 - 1448,

Journal articles | 2021

Huang J; Sukochev F, 2021, 'Alberti--Uhlmann problem on Hardy--Littlewood--Pólya majorization', Communications in Mathematical Physics, 2021,

Journal articles | 2021

Huang J; Sukochev F, 2021, 'Isomorphic classification of Lp,q-spaces, II', Journal of Functional Analysis, 280,

Journal articles | 2021

Jiao Y; Sukochev F; Zhou D, 2021, 'Maximal Inequalities of Noncommutative Martingale Transforms', Canadian Journal of Mathematics, 73, pp. 221 - 248,

Journal articles | 2021

Junge M; Scheckter TT; Sukochev F, 2021, 'A noncommutative generalisation of a problem of Steinhaus', Journal of Functional Analysis, 280, pp. 108782 - 108782,

Journal articles | 2021

McDonald E; Scheckter TT; Sukochev FA, 2021, 'Estimates for Schur Multipliers and Double Operator Integrals—A Wavelet Approach', Functional Analysis and its Applications, 55, pp. 81 - 93,

Journal articles | 2021

McDonald E; Scheckter TT; Sukochev FA, 2021, 'Использование всплесков в оценках мультипликаторов Шура и двойных операторных интегралах', Функциональный анализ и его приложения, 55, pp. 5 - 20,

Journal articles | 2021

Nessipbayev Y; Sukochev F; Tulenov K, 2021, 'Non-commutative analogues of weak compactness criteria in symmetric spaces', Advances in Operator Theory, 6,

Journal articles | 2021

Pliev M; Sukochev F, 2021, 'The Kalton and Rosenthal type decomposition of operators in Köthe-Bochner spaces', Journal of Mathematical Analysis and Applications, 500,

Journal articles | 2021

Sukochev F; Tulenov K; Zanin D, 2021, 'The boundedness of the Hilbert transformation from one rearrangement invariant Banach space into another and applications', Bulletin des Sciences Mathematiques, 167,

Journal articles | 2021

Sukochev F; Zanin D, 2021, 'Optimal constants in non-commutative hölder inequality for quasi-norms', Proceedings of the American Mathematical Society, 149, pp. 3813 - 3817,

Journal articles | 2021

Sukochev FA; Huang J, 2021, 'Isometries on Noncommutative Symmetric Spaces', Doklady Mathematics, 103, pp. 54 - 56,

Journal articles | 2020

Astashkin S; Huang J; Sukochev F, 2020, 'Lack of isomorphic embeddings of symmetric function spaces into operator ideals', Journal of Functional Analysis,

Journal articles | 2020

Azamov N; McDonald E; Sukochev F; Zanin D, 2020, 'A Dixmier Trace Formula for the Density of States', Communications in Mathematical Physics, 377, pp. 2597 - 2628,

Journal articles | 2020

Ber A; Kudaybergenov K; Sukochev F, 2020, 'Notes on derivations of Murray–von Neumann algebras', Journal of Functional Analysis, 279,

Journal articles | 2020

Bikchentaev A; McDonald E; Sukochev F, 2020, 'Ando's inequality for uniform submajorization', Linear Algebra and Its Applications, 605, pp. 206 - 226,

Journal articles | 2020

Britz T; Carey A; Gesztesy F; Nichols R; Sukochev F; Zanin D, 2020, 'The product formula for regularized Fredholm determinants', Proceedings of the American Mathematical Society, Series B, 8, pp. 42 - 51,

Journal articles | 2020

Caspers M; Junge M; Sukochev F; Zanin D, 2020, 'BMO-estimates for non-commutative vector valued Lipschitz functions', Journal of Functional Analysis, 278,

Journal articles | 2020

Charlesworth I; Dykema K; Sukochev F; Zanin D, 2020, 'Simultaneous Upper Triangular Forms for Commuting Operators in a Finite von Neumann Algebra', Canadian Journal of Mathematics, 72, pp. 1188 - 1245,

Journal articles | 2020

Dauitbek D; Huang J; Sukochev F, 2020, 'Extreme points of the set of elements majorised by an integrable function: Resolution of a problem by Luxemburg and of its noncommutative counterpart', Advances in Mathematics,

Journal articles | 2020

Dodds PG; Dodds TK; Sukochev FA; Zanin D, 2020, 'Arithmetic–Geometric Mean and Related Submajorisation and Norm Inequalities for τ -Measurable Operators: Part II', Integral Equations and Operator Theory, 92,

Journal articles | 2020

Dodds PG; Dodds TK; Sukochev FA; Zanin D, 2020, 'Arithmetic–Geometric Mean and Related Submajorisation and Norm Inequalities for τ -Measurable operators: Part I', Integral Equations and Operator Theory, 92,

Journal articles | 2020

Dodds PG; Dodds TK; Sukochev FA; Zanin D, 2020, 'Logarithmic submajorization, uniform majorization and Hölder type inequalities for τ-measurable operators', Indagationes Mathematicae, 31, pp. 809 - 830,

Journal articles | 2020

Huang J; Levitina G; Sukochev F, 2020, 'M-embedded symmetric operator spaces and the derivation problem', Mathematical Proceedings of the Cambridge Philosophical Society, 169, pp. 607 - 622,

Journal articles | 2020

Huang J; Sukochev F, 2020, 'Operator \theta-Hölder functions', Banach Journal of Mathematical Analysis,

Journal articles | 2020

Jiao Y; Sukochev F; Xie G; Zanin D, 2020, 'Rosenthal’s inequalities: ∆-norms and quasi-Banach symmetric sequence spaces', Studia Mathematica, 255, pp. 55 - 81,

Journal articles | 2020

Jiao Y; Sukochev F; Zanin D, 2020, 'On subspaces spanned by freely independent random variables in noncommutative Lp-spaces', Israel Journal of Mathematics, 238, pp. 431 - 477,

Journal articles | 2020

Jiao Y; Sukochev F; Zanin D, 2020, 'Sums of independent and freely independent identically distributed random variables', Studia Mathematica, 251, pp. 289 - 315,

Journal articles | 2020

Levitina G; Sukochev F; Zanin D, 2020, 'Cwikel estimates revisited', Proceedings of the London Mathematical Society, 120, pp. 265 - 304,

Journal articles | 2020

Lord S; Sukochev F; Zanin D, 2020, 'A last theorem of Kalton and finiteness of Connes' integral', Journal of Functional Analysis, 279,

Journal articles | 2020

McDonald E; Sukochev F; Xiong X, 2020, 'Quantum Differentiability on Noncommutative Euclidean Spaces', Communications in Mathematical Physics, 379, pp. 491 - 542,

Journal articles | 2020

Pliev M; Sukochev F; Zanin D, 2020, 'Lp- Bounds for the Krein Spectral Shift Function: 0<p<∞', Russian Journal of Mathematical Physics, 27, pp. 491 - 499,

Journal articles | 2020

Semenov E; Sukochev F; Usachev A; Zanin D, 2020, 'INVARIANT BANACH LIMITS AND APPLICATIONS TO NONCOMMUTATIVE GEOMETRY', Pacific Journal of Mathematics, 306, pp. 357 - 373,

Journal articles | 2020

Semenov EM; Sukochev FA; Usachev AS, 2020, 'Geometry of Banach limits and their applications', Russian Mathematical Surveys, 75, pp. 725 - 763,

Journal articles | 2020

Semenov EM; Sukochev FA; Usachev AS, 2020, 'Геометрия банаховых пределов и их приложения', Успехи математических наук, 75, pp. 153 - 194,

Journal articles | 2020

Sukochev F; Zhou D, 2020, '2-co-lacunary sequences in noncommutative symmetric banach spaces', Proceedings of the American Mathematical Society, 148, pp. 2045 - 2058,

Journal articles | 2020

de Pagter B; Sukochev FA, 2020, 'The Grothendieck property in Marcinkiewicz spaces', Indagationes Mathematicae, 31, pp. 791 - 808,

Journal articles | 2019

Ber AF; Kudaybergenov KK; Sukochev FA, 2019, 'Дифференцирования на алгебрах Мюррея-фон Неймана', Успехи математических наук, 74, pp. 183 - 184,

Journal articles | 2019

Bikchentaev A; Sukochev F, 2019, 'When weak and local measure convergence implies norm convergence', Journal of Mathematical Analysis and Applications, 473, pp. 1414 - 1431,

Journal articles | 2019

Caspers M; Potapov D; Sukochev F; Zanin D, 2019, 'WEAK TYPE COMMUTATOR AND LIPSCHITZ ESTIMATES: RESOLUTION OF THE NAZAROV-PELLER CONJECTURE', AMERICAN JOURNAL OF MATHEMATICS, 141, pp. 593 - 610,

Journal articles | 2019

Coine C; Le Merdy C; Skripka A; Sukochev F, 2019, 'Higher order S ² -differentiability and application to Koplienko trace formula', Journal of Functional Analysis, 276, pp. 3170 - 3204,

Journal articles | 2019

Connes A; Levitina G; McDonald E; Sukochev F; Zanin D, 2019, 'Noncommutative geometry for symmetric non-self-adjoint operators', Journal of Functional Analysis, 277, pp. 889 - 936,

Journal articles | 2019

Connes A; Mcdonald E; Sukochev F; Zanin D, 2019, 'Conformal trace theorem for Julia sets of quadratic polynomials', Ergodic Theory and Dynamical Systems, 39, pp. 2481 - 2506,

Journal articles | 2019

Huang J; Sukochev F; Zanin D, 2019, 'Logarithmic submajorisation and order-preserving linear isometries', Journal of Functional Analysis, 278, pp. 108352,

Journal articles | 2019

Huang J; Sukochev F, 2019, 'Interpolation between L(M, τ) and L ∞ (M, τ)', Mathematische Zeitschrift, pp. 1657 - 1672,

Journal articles | 2019

Levitina G; Sukochev F; Zanin D, 2019, 'Sign of a perturbed massive Dirac operator and associated Fredholm module', Journal of Geometry and Physics, 136, pp. 244 - 267,

Journal articles | 2019

McDonald E; Sukochev F; Zanin D, 2019, 'A C^*-algebraic approach to the principal symbol II', Mathematische Annalen, 374, pp. 273 - 322,

Journal articles | 2019

Mcdonald E; Sukochev F; Xiong X, 2019, 'Quantum Differentiability on Quantum Tori', Communications in Mathematical Physics, 371, pp. 1231 - 1260,

Journal articles | 2019

Potapov D; Sukochev F; Tomskova A; Zanin D, 2019, 'FrÉchet differentiability of the norm of Lp-spaces associated with arbitrary von Neumann algebras', Transactions of the American Mathematical Society, 371, pp. 7493 - 7532,

Journal articles | 2019

Semenov E; Sukochev F; Usachev A; Zanin D, 2019, 'Dilation invariant Banach limits', Indagationes Mathematicae,

Journal articles | 2019

Semenov EM; Sukochev FA; Usachev AS, 2019, 'The main classes of invariant Banach limits', Izvestiya Mathematics, 83, pp. 124 - 150,

Journal articles | 2019

Sukochev F; Tulenov K; Zanin D, 2019, 'The optimal range of the Calderòn operator and its applications', Journal of Functional Analysis, 277, pp. 3513 - 3559,

Journal articles | 2019

Sukochev F; Veksler A, 2019, 'The Mean Ergodic Theorem in symmetric spaces', Studia Mathematica, 245, pp. 229 - 253,

Journal articles | 2018

Alekhno E; Semenov E; Sukochev F; Usachev A, 2018, 'Invariant Banach limits and their extreme points', Studia Mathematica, 242, pp. 79 - 107,

Journal articles | 2018

Ber A; Chilin V; Sukochev F; Zanin D, 2018, 'Fuglede-putnam theorem for locally measurable operators', Proceedings of the American Mathematical Society, 146, pp. 1681 - 1692,

Journal articles | 2018

Ber A; Sukochev F; Zanin D, 2018, 'Heisenberg relation for locally measurable operators', Advances in Mathematics, 335, pp. 211 - 230,

Journal articles | 2018

Carey A; Gesztesy F; Kaad J; Levitina G; Nichols R; Potapov D; Sukochev F, 2018, 'On the Global Limiting Absorption Principle for Massless Dirac Operators', Annales Henri Poincare, 19, pp. 1993 - 2019,

Journal articles | 2018

Caspers M; Sukochev F; Zanin D, 2018, 'Weak type operator Lipschitz and commutator estimates for commuting tuples', Annales de l'Institut Fourier, 68, pp. 1643 - 1669,

Journal articles | 2018

Levitina G; Sukochev F; Vella D; Zanin D, 2018, 'Schatten Class Estimates for the Riesz Map of Massless Dirac Operators', Integral Equations and Operator Theory, 90,

Journal articles | 2018

Potapov D; Sukochev F, 2018, 'Arens Algebras and Matricial Spaces', Journal of Mathematics, Mechanics and Computer Science, 100, pp. 3 - 7,

Journal articles | 2018

Sadovskaya O; Sukochev F, 2018, 'Isomorphic classification of Lp,q-spaces: The case p = 2, 1 ≤ q < 2', Proceedings of the American Mathematical Society, 146, pp. 3975 - 3984,

Journal articles | 2018

Scheckter TT; Sukochev F, 2018, 'Weak Type Estimates for the Noncommutative Vilenkin–Fourier Series', Integral Equations and Operator Theory, 90,

Journal articles | 2018

Sukochev F; Veksler A, 2018, 'Positive Linear Isometries in Symmetric Operator Spaces', Integral Equations and Operator Theory, 90,

Journal articles | 2018

Sukochev F; Zanin D, 2018, 'Ac*-Algebraicapproach Totheprincipalsymbol. I', Journal of Operator Theory, 80, pp. 481 - 522,

Journal articles | 2018

Sukochev F; Zanin D, 2018, 'Connes Integration Formula for the Noncommutative Plane', Communications in Mathematical Physics, 359, pp. 449 - 466,

Journal articles | 2017

Alekhno E; Semenov E; Sukochev F; Usachev A, 2017, 'Order and geometric properties of the set of banach limits', St. Petersburg Mathematical Journal, 28, pp. 299 - 321,

Journal articles | 2017

Alekhno EA; Semenov EM; Sukochev FA; Usachev AS, 2017, 'Banach limits: Invariance and functional characteristics', Doklady Mathematics, 96, pp. 305 - 307,

Journal articles | 2017

Ber A; Huang J; Levitina G; Sukochev F, 2017, 'Derivations with values in ideals of semifinite von Neumann algebras', Journal of Functional Analysis, 272, pp. 4984 - 4997,

Journal articles | 2017

Carey A; Gesztesy F; Potapov D; Sukochev F; Tomilov Y, 2017, 'On the Witten index in terms of spectral shift functions', Journal d'Analyse Mathematique, 132, pp. 1 - 61,

Journal articles | 2017

Chilin V; Sukochev F, 2017, 'Blum–Hanson type ergodic theorems in noncommutative symmetric spaces', Journal of Functional Analysis, 273, pp. 329 - 351,

Journal articles | 2017

Connes A; Sukochev FA; Zanin DV, 2017, 'Trace theorem for quasi-fuchsian groups', Sbornik Mathematics, 208, pp. 1473 - 1502,

Journal articles | 2017

Connes A; Sukochev FA; Zanin DV, 2017, 'Теорема о следах для квазифуксовых групп', Математический сборник, 208, pp. 59 - 90,

Journal articles | 2017

Dykema K; Sukochev F; Zanin D, 2017, 'An upper triangular decomposition theorem for some unbounded operators affiliated to II1-factors', Israel Journal of Mathematics, 222, pp. 645 - 709,

Journal articles | 2017

Dykema K; Sukochev F; Zanin D, 2017, 'Determinants associated to traces on operator bimodules', Journal of Operator Theory, 78, pp. 119 - 134,

Journal articles | 2017

Huang J; Levitina G; Sukochev F, 2017, 'Completeness of symmetric Δ-normed spaces of τ-measurable operators', Studia Mathematica, 237, pp. 201 - 219,

Journal articles | 2017

Jiao Y; Sukochev F; Zanin D; Zhou D, 2017, 'Johnson–Schechtman inequalities for noncommutative martingales', Journal of Functional Analysis, 272, pp. 976,

Journal articles | 2017

Junge M; Sukochev F; Zanin D, 2017, 'Embeddings of operator ideals into Lp-spaces on finite von Neumann algebras', Advances in Mathematics, 312, pp. 473 - 546,

Journal articles | 2017

Lord S; McDonald E; Sukochev F; Zanin D, 2017, 'Quantum differentiability of essentially bounded functions on Euclidean space', Journal of Functional Analysis, 273, pp. 2353 - 2387,

Journal articles | 2017

Potapov D; Skripka A; Sukochev F; Tomskova A, 2017, 'Multilinear Schur multipliers and Schatten properties of operator Taylor remainders', Advances in Mathematics, 320, pp. 1063 - 1098,

Journal articles | 2017

Sukochev F; Tulenov K; Zanin D, 2017, 'Nehari-Type Theorem for Non-commutative Hardy Spaces', Journal of Geometric Analysis, 27, pp. 1789 - 1802,

Journal articles | 2017

Sukochev F; Usachev A; Zanin D, 2017, 'Singular traces and residues of the ζ-function', Indiana University Mathematics Journal, 66, pp. 1107 - 1144,

Journal articles | 2017

Sukochev F; Veksler A, 2017, 'Mean ergodic theorem in symmetric spaces', Comptes Rendus Mathematique, 355, pp. 559 - 562,

Journal articles | 2017

Sukochev F; Zanin D, 2017, 'Fubini theorem in noncommutative geometry', Journal of Functional Analysis, 272, pp. 1230,

Journal articles | 2017

de Pagter B; Dodds PG; Sukochev FA, 2017, 'On weak* convergent sequences in duals of symmetric spaces of τ-measurable operators', Israel Journal of Mathematics, 222, pp. 125 - 164,

Journal articles | 2017

Алехно Е; Семенов Е; Сукочев Ф; Усачев А, 2017, 'БАНАХОВЫ ПРЕДЕЛЫ: ИНВАРИАНТНОСТЬ И��ФУНКЦИОНАЛЬНЫЕ ХАРАКТЕРИСТИКИ', Доклады Академии наук, pp. 7 - 7,

Journal articles | 2016

Alekhno E; Semenov E; Sukochev F; Usachev A, 2016, 'On the structure of invariant Banach limits', Comptes Rendus Mathematique, 354, pp. 1195 - 1199,

Journal articles | 2016

Astashkin SV; Sukochev FA, 2016, 'Randomized Operators on n× n Matrices and Applications', Integral Equations and Operator Theory, 86, pp. 333 - 358,

Journal articles | 2016

Aubrun G; Sukochev F; Zanin D, 2016, 'Catalysis in the trace class and weak trace class ideals', Proceedings of the American Mathematical Society, 144, pp. 2461 - 2471,

Journal articles | 2016

Ayre PJ; Cowling MG; Sukochev FA, 2016, 'Operator Lipschitz estimates in the unitary setting', Proceedings of the American Mathematical Society, 144, pp. 1053 - 1057,

Journal articles | 2016

Carey A; Gesztesy F; Grosse H; Levitina G; Potapov D; Sukochev F; Zanin D, 2016, 'Trace formulas for a class of non-Fredholm operators: A review', Reviews in Mathematical Physics, 28,

Journal articles | 2016

Carey A; Gesztesy F; Levitina G; Nichols R; Potapov D; Sukochev F, 2016, 'Double operator integral methods applied to continuity of spectral shift functions', Journal of Spectral Theory, 6, pp. 747 - 779,

Journal articles | 2016

Carey A; Gesztesy F; Levitina G; Potapov D; Sukochev F; Zanin D, 2016, 'On index theory for non-Fredholm operators: A (1 + 1)-dimensional example', Mathematische Nachrichten, 289, pp. 575 - 609,

Journal articles | 2016

Carey A; Gesztesy F; Levitina G; Sukochev F, 2016, 'On the index of a non-Fredholm model operator', Operators and Matrices, 10, pp. 881 - 914,

Journal articles | 2016

Carey AL; Rennie A; Sukochev F; Zanin D, 2016, 'Universal measurability and the Hochschild class of the Chern character', Journal of Spectral Theory, 6, pp. 1 - 41,

Journal articles | 2016

Coine C; Le Merdy C; Potapov D; Sukochev F; Tomskova A, 2016, 'Peller's problem concerning Koplienko–Neidhardt trace formulae: the unitary case', Journal of Functional Analysis, 271, pp. 1747 - 1763,

Journal articles | 2016

Coine C; Le Merdy C; Potapov D; Sukochev F; Tomskova A, 2016, 'Resolution of Peller's problem concerning Koplienko-Neidhardt trace formulae', Proceedings of the London Mathematical Society, 113, pp. 113 - 139,

Journal articles | 2016

Dodds PG; De Pagter B; Sukochev F, 2016, 'Sets of uniformly absolutely continuous norm in symmetric spaces of measurable operators', Transactions of the American Mathematical Society, 368, pp. 4315 - 4355,

Journal articles | 2016

Dykema K; Noles J; Sukochev F; Zanin D, 2016, 'On reduction theory and Brown measure for closed unbounded operators', Journal of Functional Analysis, 271, pp. 3403 - 3422,

Journal articles | 2016

Dykema K; Sukochev F; Zanin D, 2016, 'Algebras of Log-Integrable Functions and Operators', Complex Analysis and Operator Theory, 10, pp. 1775 - 1787,

Journal articles | 2016

Jiao Y; Sukochev F; Xie G; Zanin D, 2016, 'Φ-moment inequalities for independent and freely independent random variables', Journal of Functional Analysis,

Journal articles | 2016

Jiao Y; Sukochev F; Zanin D, 2016, 'Johnson–Schechtman and Khintchine inequalities in noncommutative probability theory', Journal of the London Mathematical Society, 94, pp. 113 - 140,

Journal articles | 2016

Potapov D; Skripka A; Sukochev F, 2016, 'Functions of unitary operators: Derivatives and trace formulas', Journal of Functional Analysis, 270, pp. 2048 - 2072,

Journal articles | 2016

Rozendaal J; Sukochev F; Tomskova A, 2016, 'Operator lipschitz functions on Banach spaces', Studia Mathematica, 232, pp. 57 - 92,

Journal articles | 2016

Sukochev F; Usachev A, 2016, 'Dixmier traces and non-commutative analysis', Journal of Geometry and Physics, 105, pp. 102 - 122,

Journal articles | 2016

Sukochev F, 2016, 'Hölder inequality for symmetric operator spaces and trace property of K-cycles', Bulletin of the London Mathematical Society, 48, pp. 637 - 647,

Journal articles | 2016

Usachev A; Sukochev F, 2016, 'Characterization of singular traces on the weak trace class ideal generated by exponentiation invariant extended limits', Commentationes Mathematicae, 55,

Journal articles | 2015

Alekhno EA; Semenov EM; Sukochev FA; Usachev AS, 2015, 'Order properties of the set of Banach limits', Doklady Mathematics, 91, pp. 20 - 22,

Journal articles | 2015

Astashkin S; Sukochev F; Zanin D, 2015, 'On uniqueness of distribution of a random variable whose independent copies span a subspace in Lp', Studia Mathematica, 230, pp. 41 - 57,

Journal articles | 2015

Carey AL; Gayral V; Phillips J; Rennie A; Sukochev FA, 2015, 'Spectral flow for nonunital spectral triples', Canadian Journal of Mathematics, 67, pp. 759 - 794,

Journal articles | 2015

Caspers M; Potapov D; Sukochev F; Zanin D, 2015, 'Weak type estimates for the absolute value mapping', Journal of Operator Theory, 73, pp. 361 - 384,

Journal articles | 2015

Dykema K; Sukochev F; Zanin D, 2015, 'A decomposition theorem in II1-factors', Journal fur die Reine und Angewandte Mathematik, 2015, pp. 97 - 114,

Journal articles | 2015

Dykema K; Sukochev F; Zanin D, 2015, 'Holomorphic functional calculus on upper triangular forms in finite von Neumann algebras', Illinois Journal of Mathematics, 59, pp. 819 - 824,

Journal articles | 2015

Potapov D; Skripka A; Sukochev F, 2015, 'Trace formulas for resolvent comparable operators', Advances in Mathematics, 272, pp. 630 - 651,

Journal articles | 2015

Potapov D; Sukochev F; Tomskova A, 2015, 'On the Arazy conjecture concerning Schur multipliers on Schatten ideals', Advances in Mathematics, 268, pp. 404 - 422,

Journal articles | 2015

Potapov D; Sukochev F; Usachev A; Zanin D, 2015, 'Singular traces and perturbation formulae of higher order', Journal of Functional Analysis, 269, pp. 1441 - 1481,

Journal articles | 2015

Sedaev AA; Semenov EM; Sukochev FA, 2015, 'Fully symmetric function spaces without an equivalent Fatou norm', Positivity, 19, pp. 419 - 437,

Journal articles | 2015

Semenov E; Sukochev F; Usachev A; Zanin D, 2015, 'Banach limits and traces on L1,∞', Advances in Mathematics, 285, pp. 568 - 628,

Journal articles | 2015

Алехно ЕА; Семенов ЕМ; Сукочев ФА; Усачев АС, 2015, 'Порядковые свойства множества банаховых пределов', Доклады Академии наук, 460, pp. 131 - 132,

Journal articles | 2014

Astashkin S; Sukochev FA; Zanin D, 2014, 'Disjointification inequalities in symmetric quasi-banach spaces and their applications', Pacific Journal of Mathematics, 270, pp. 257 - 285,

Journal articles | 2014

Astashkin SV; Sukochev FA, 2014, 'Orlicz sequence spaces spanned by identically distributed independent random variables in Lp-spaces', Journal of Mathematical Analysis and Applications, 413, pp. 1 - 19,

Journal articles | 2014

Ber AF; Chilin VI; Sukochev FA, 2014, 'Continuous derivations on algebras of locally measurable operators are inner', Proceedings of the London Mathematical Society, 109, pp. 65 - 89,

Journal articles | 2014

Carey A; Gesztesy F; Potapov D; Sukochev F; Tomilov Y, 2014, 'A Jost-Pais-Type Reduction of Fredholm Determinants and Some Applications', Integral Equations and Operator Theory, 79, pp. 389 - 447,

Journal articles | 2014

Carey AL; Gayral V; Rennie A; Sukochev FA, 2014, 'Index theory for locally compact noncommutative geometries', Memoirs of the American Mathematical Society, 231, pp. 1 - 142,

Journal articles | 2014

Caspers M; Montgomery-Smith S; Potapov D; Sukochev F, 2014, 'The best constants for operator Lipschitz functions on Schatten classes', Journal of Functional Analysis, 267, pp. 3557 - 3579,

Journal articles | 2014

Dodds PG; Dodds TK; Sukochev FA, 2014, 'On p-Convexity and q-Concavity in Non-Commutative Symmetric Spaces', Integral Equations and Operator Theory, 78, pp. 91 - 114,

Journal articles | 2014

Gayral V; Sukochev F, 2014, 'Dixmier traces and extrapolation description of noncommutative Lorentz spaces', Journal of Functional Analysis,

Journal articles | 2014

Gayral V; Sukochev F, 2014, 'Dixmier traces and extrapolation description of noncommutative Lorentz spaces', Journal of Functional Analysis, 266, pp. 6256 - 6317,

Journal articles | 2014

Levitina G; Pietsch A; Sukochev FA; Zanin D, 2014, 'Completeness of quasi-normed operator ideals generated by s-numbers', Indagationes Mathematicae, 25, pp. 49 - 58,

Journal articles | 2014

Potapov D; Skripka A; Sukochev F, 2014, 'Functions of unitary operators: Derivatives and trace formulas', Journal of Functional Analysis,

Journal articles | 2014

Potapov D; Skripka A; Sukochev F, 2014, 'Higher-order spectral shift for contractions', Proceedings of the London Mathematical Society, 108, pp. 327 - 349,

Journal articles | 2014

Potapov D; Sukochev F; Tomskova A; Zanin D, 2014, 'Fréchet differentiability of the norm of Lp-spaces associated with arbitrary von Neumann algebras', Comptes Rendus Mathematique, 352, pp. 923 - 927,

Journal articles | 2014

Potapov D; Sukochev F; Zanin D, 2014, 'Krein's trace theorem revisited', Journal of Spectral Theory, 4, pp. 415 - 430,

Journal articles | 2014

Potapov D; Sukochev F, 2014, 'Fréchet differentiability of S^p norms', Advances in Mathematics, 262, pp. 436 - 475,

Journal articles | 2014

Semenov EM; Sukochev FA; Usachev AS, 2014, 'Geometric properties of the set of Banach limits', Izvestiya Mathematics, 78, pp. 596 - 620,

Journal articles | 2014

Semenov EM; Sukochev FA, 2014, 'Sums and intersections of symmetric operator spaces', Journal of Mathematical Analysis and Applications, 414, pp. 742 - 755,

Journal articles | 2014

Sukochev F; Usachev A; Zanin D, 2014, 'Dixmier traces generated by exponentiation invariant generalised limits', Journal of Noncommutative Geometry, 8, pp. 321 - 336,

Journal articles | 2014

Sukochev F; Zanin D, 2014, 'Dixmier traces are weak* dense in the set of all fully symmetric traces', Journal of Functional Analysis,

Journal articles | 2014

Sukochev F; Zanin D, 2014, 'Dixmier traces are weak^* dense in the set of all fully symmetric traces', Journal of Functional Analysis, 266, pp. 6158 - 6173,

Journal articles | 2014

Sukochev F; Zanin D, 2014, 'Which traces are spectral?', Advances in Mathematics, 252, pp. 406 - 428,

Journal articles | 2014

Sukochev F, 2014, 'Completeness of quasi-normed symmetric operator spaces', Indagationes Mathematicae, 25, pp. 376 - 388,

Journal articles | 2013

Astashkin SV; Sukochev F; Wong CP, 2013, 'Distributionally concave symmetric spaces and uniqueness of symmetric structure', Advances in Mathematics, 232, pp. 399 - 431,

Journal articles | 2013

Ber A; Chilin V; Sukochev F, 2013, 'Continuity of derivations of algebras of locally measurable operators', Integral Equations and Operator Theory, 75, pp. 527 - 557,

Journal articles | 2013

Ber AF; Sukochev FA, 2013, 'Commutator estimates in von Neumann algebras', Functional Analysis and its Applications, 47, pp. 62 - 63,

Journal articles | 2013

Caspers ; Potapov D; Sukochev F, 2013, 'The Walsh basis in the Lp-spaces of hyperfinite IIIλ factors, 0', Journal of Mathematical Analysis and Applications, 408, pp. 154 - 164,

Journal articles | 2013

Flint GH; De Pagter B; Sukochev FA, 2013, 'The Dixmier approximation theorem in algebras of measurable operators', Proceedings of the American Mathematical Society, 141, pp. 909 - 918,

Journal articles | 2013

Kalton N; Lord S; Potapov D; Sukochev F, 2013, 'Traces of compact operators and the noncommutative residue', Advances in Mathematics, 235, pp. 1 - 55,

Journal articles | 2013

Potapov D; Skripka A; Sukochev F, 2013, 'On Hilbert-Schmidt compatibility', Operators and Matrices, 7, pp. 1 - 33,

Journal articles | 2013

Potapov D; Skripka A; Sukochev F, 2013, 'Spectral shift function of higher order', Inventiones Mathematicae, 193, pp. 501 - 538,

Journal articles | 2013

Sedaev AA; Sukochev FA, 2013, 'Dixmier measurability in Marcinkiewicz spaces and applications', Journal of Functional Analysis, 265, pp. 3053 - 3066,

Journal articles | 2013

Semenov E; Sukochev F, 2013, 'Extreme points of the set of Banach limits', Positivity, 17, pp. 163 - 170,

Journal articles | 2013

Semenov EM; Sukochev FA, 2013, 'Function spaces with extremal properties', Doklady Mathematics, 87, pp. 175 - 177,

Journal articles | 2013

Sukochev F; Tomskova A, 2013, '(E, F)-Schur multipliers and applications', Studia Mathematica, 216, pp. 111 - 129,

Journal articles | 2013

Sukochev F; Usachev A; Zanin D, 2013, 'Generalized limits with additional invariance properties and their applications to noncommutative geometry', Advances in Mathematics, 239, pp. 164 - 189,

Journal articles | 2013

Sukochev F; Usachev A; Zanin D, 2013, 'On the distinction between the classes of Dixmier and Connes-Dixmier traces', Proceedings of the American Mathematical Society, 141, pp. 2169 - 2179,

Journal articles | 2013

Sukochev F; Zanin D, 2013, 'Traces on symmetrically normed operator ideals', Journal fur die Reine und Angewandte Mathematik, pp. 163 - 200,

Journal articles | 2012

Ber A; Sukochev F, 2012, 'Commutator estimates in W *-algebras', Journal of Functional Analysis, 262, pp. 537 - 568,

Journal articles | 2012

Ber A; Sukochev F, 2012, 'Commutator estimates in W*-factors', Transactions of the American Mathematical Society, 364, pp. 5571 - 5587,

Journal articles | 2012

Ber AF; Chilin VI; Levitina GB; Sukochev FA, 2012, 'Derivations on symmetric quasi-Banach ideals of compact operators', Journal of Mathematical Analysis and Applications, 397, pp. 628 - 643,

Journal articles | 2012

Carey AL; Gayral V; Rennie A; Sukochev F, 2012, 'Integration on locally compact noncommutative spaces', Journal of Functional Analysis, 263, pp. 383 - 414,

Journal articles | 2012

Gesztesy F; Gomilko A; Sukochev F; Tomilov Y, 2012, 'On a question of A. E. Nussbaum on measurability of families of closed linear operators in a Hilbert space', Israel Journal of Mathematics, 188, pp. 195 - 219,

Journal articles | 2012

Potapov D; Sukochev F; Xu Q, 2012, 'On the vector-valued Littlewood-Paley-Rubio de Francia inequality', Revista Matematica Iberoamericana, 28, pp. 839 - 856,

Journal articles | 2012

Potapov D; Sukochev F, 2012, 'Koplienko Spectral Shift Function on the Unit Circle', Communications in Mathematical Physics, 309, pp. 693 - 702,

Journal articles | 2012

Sukochev F; Carey AL, 2012, 'Measurable operators and the asymptotics of heat kernels and zeta functions', Journal of Functional Analysis, 262, pp. 4582 - 4599,

Journal articles | 2012

Sukochev F; Tomskova AA, 2012, 'Schur multipliers associated with symmetric sequence spaces', Mathematical Notes, 92, pp. 830 - 833,

Journal articles | 2012

Sukochev F; Zanin DV, 2012, 'Johnson-Schectman inequalities in the free probability theory', Journal of Functional Analysis, 263, pp. 2921 - 2948,

Journal articles | 2012

Sukochev F, 2012, 'On the A. M. Bikchentaev conjecture', Russian Mathematics, 56, pp. 57 - 59,

Journal articles | 2011

Aleksandrov A; Peller V; Potapov D; Sukochev F, 2011, 'Functions of normal operators under perturbations', Advances in Mathematics, 226, pp. 5216 - 5251,

Journal articles | 2011

Astashkin S; Sukochev F; Wong C, 2011, 'Disjointification of martingale differences and conditionally independent random variables with some applications', Studia Mathematica, 205, pp. 171 - 200,

Journal articles | 2011

Astashkin S; Sukochev F, 2011, 'Symmetric quasi-norms of sums of independent random variables in symmetric function spaces with the Kruglov property', Israel Journal of Mathematics, 184, pp. 455 - 476,

Journal articles | 2011

Ber AF; De pagter B; Sukochev F, 2011, 'Derivations in algebras of operator-valued functions', Journal of Operator Theory, 66, pp. 261 - 300

Journal articles | 2011

Dirksen S; De Pagter B; Potapov D; Sukochev F, 2011, 'Rosenthal inequalities in noncommutative symmetric spaces', Journal of Functional Analysis, 261, pp. 2890 - 2925,

Journal articles | 2011

Gesztesy F; Latushkin YD; Makarov KA; Sukochev F; Tomilov Y, 2011, 'The index formula and the spectral shift function for relatively trace class perturbations', Advances in Mathematics, 227, pp. 319 - 420,

Journal articles | 2011

Kalton N; Sedaev A; Sukochev F, 2011, 'Fully symmetric functionals on a Marcinkiewicz space are Dixmier traces', Advances in Mathematics, 226, pp. 3540 - 3549,

Journal articles | 2011

Kissin E; Potapov D; Shulman V; Sukochev F, 2011, 'Lipschitz functions, Schatten ideals, and unbounded derivations', Functional Analysis and Its Applications, 45, pp. 157 - 159,

Journal articles | 2011

Lord S; Sukochev FA, 2011, 'Noncommutative residues and a characterisation of the noncommutative integral', Proceedings of the American Mathematical Society, 139, pp. 243 - 243,

Journal articles | 2011

Potapov D; Sukochev F, 2011, 'Operator-Lipschitz functions in Schatten-von Neumann classes', ACTA Mathematica, 207, pp. 375 - 389,

Journal articles | 2011

Potapov D; Sukochev F, 2011, 'The Haar system in the preduals of hyperfinite factors', Canadian Mathematical Bulletin, 54, pp. 347 - 363,

Journal articles | 2011

Semenov EM; Sukochev FA; Usachev AS, 2011, 'Structure properties of the Banach limit set', Doklady Mathematics, 84, pp. 802 - 803,

Journal articles | 2011

Sukochev F; Zanin DV, 2011, 'ζ-function and heat kernel formulae', Journal of Functional Analysis, 260, pp. 2451 - 2482,

Journal articles | 2010

Aleksandrov A; Peller V; Potapov D; Sukochev F, 2010, 'Functions of perturbed normal operators', Comptes Rendus Mathematique, 348, pp. 553 - 558,

Journal articles | 2010

Astashkin S; Sukochev F, 2010, 'Best constants in Rosenthal-type inequalities and the Kruglov operator', Annals of Probability, 38, pp. 1986 - 2008,

Journal articles | 2010

Astashkin SV; Sukochev FA, 2010, 'Independent functions and the geometry of Banach spaces', Russian Mathematical Surveys, 65, pp. 1003 - 1081,

Journal articles | 2010

Ber A; De pagter B; Sukochev F, 2010, 'Notes on derivations on algebras of measurable operators', Mathematical Notes, 87, pp. 502 - 513,

Journal articles | 2010

Kalton N; Sukochev F; Zanin DV, 2010, 'Orbits in symmetric spaces, II', Studia Mathematica, 197, pp. 257 - 274,

Journal articles | 2010

Lord S; Potapov D; Sukochev F, 2010, 'Measures from Dixmier traces and zeta functions', Journal of Functional Analysis, 259, pp. 1915 - 1949,

Journal articles | 2010

Lord S; Sukochev F, 2010, 'Measure theory in noncommutative spaces', Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 6,

Journal articles | 2010

Lord S, 2010, 'Measure Theory in Noncommutative Spaces', Symmetry, Integrability and Geometry: Methods and Applications, 6,

Journal articles | 2010

Potapov D; Sukochev F, 2010, 'Double operator integrals and submajorization', Mathematical Modelling of Natural Phenomena (MMNP), 5, pp. 317 - 339,

Journal articles | 2010

Sedaev A; Sukochev F; Zanin DV, 2010, 'Lidskii-Type Formulae for Dixmier Traces', Integral Equations and Operator Theory, 68, pp. 551 - 572,

Journal articles | 2010

Semenov E; Sukochev F, 2010, 'Characteristic functions of Banach limits', Siberian Mathematical Journal, 51, pp. 723 - 727,

Journal articles | 2010

Semenov E; Sukochev F, 2010, 'Invariant Banach limits and applications', Annals of Probability, 259, pp. 1517 - 1541,

Journal articles | 2009

Astashkin S; Semenov E; Sukochev F, 2009, 'BANACH-SAKS TYPE PROPERTIES IN REARRANGEMENT-INVARIANT SPACES WITH THE KRUGLOV PROPERTY', Houston Journal of Mathematics, 35, pp. 959 - 973

Journal articles | 2009

Astashkin S; Zanin DV; Semenov E; Sukochev F, 2009, 'Kruglov operator and operators defined by random permutations', Functional Analysis and Its Applications, 43, pp. 83 - 95

Journal articles | 2009

Azamov N; Carey AL; Dodds P; Sukochev F, 2009, 'Operator integrals, spectral shift, and spectral flow', Canadian Journal of Mathematics - Journal Canadien de Mathematiques, 61, pp. 241 - 263,

Journal articles | 2009

Carey AL; Potapov D; Sukochev F, 2009, 'Spectral flow is the integral of one forms on the Banach manifold of self adjoint Fredholm operators', Advances in Mathematics, 222, pp. 1809 - 1849

Journal articles | 2009

Potapov D; Sukochev F, 2009, 'Unbounded Fredholm modules and double operator integrals', Journal fur die Reine und Angewandte Mathematik, pp. 159 - 185,

Journal articles | 2009

Potapov D; Sukochev F, 2009, 'Unbounded Fredholm modules and double operator integrals', Journal fur die Reine und Angewandte Mathematik, 626, pp. 159 - 185,

Journal articles | 2009

Sukochev F; Dodds PG, 2009, 'Submajorisation inequalities for convex and concave functions of sums of measurable operators', Positivity, 13, pp. 107 - 124,

Journal articles | 2009

Sukochev F; Zanin DV, 2009, 'Khinchin inequality and Banach-Saks type properties in rearrangement-invariant spaces', Studia Mathematica, 191, pp. 101 - 122,

Journal articles | 2009

Sukochev F; Zanin DV, 2009, 'Orbits in symmetric spaces', Journal of Functional Analysis, 257, pp. 194 - 218

Journal articles | 2008

Astashkin SV; Sukochev FA, 2008, 'Series of independent, mean zero random variables in rearrangement- invariant spaces having the Kruglov property', Journal of Mathematical Sciences, 148, pp. 795 - 809,

Journal articles | 2008

Novikova AI; Semenov EM; Sukochev FA, 2008, 'Banach-Saks index in spaces with symmetric basis', Doklady Mathematics, 77, pp. 396 - 397,

Journal articles | 2008

Potapov D; Sukochev F, 2008, 'Lipschitz and commutator estimates in symmetric operator spaces', Journal of Operator Theory, 59, pp. 211 - 234

Journal articles | 2008

Sukochev F; Astashkin S; Kalton N, 2008, 'A Cesaro mean convergence of martingale differences in rearrangement nvariant spaces', Positivity, 12, pp. 387 - 406,

Journal articles | 2008

Sukochev F; Azamov N, 2008, 'Spectral averaging for trace compatible operators', Proceedings of the American Mathematical Society, 136, pp. 1769 - 1778,

Journal articles | 2008

Sukochev F; Carey AL; Phillips J; Rennie A, 2008, 'The Chern character of semifinite spectral triples', Journal of Noncommutative Geometry, 2, pp. 141 - 193,

Journal articles | 2008

Sukochev F; Kalton N, 2008, 'Rearrangement-invariant functionals with applications to traces on symmetrically', Canadian Mathematical Bulletin, 51, pp. 67 - 80,

Journal articles | 2008

Sukochev F; Kalton N, 2008, 'Symmetric norms and spaces of operators', Journal fur die Reine und Angewandte Mathematik, 621, pp. 81 - 121

Journal articles | 2008

Sukochev F; Le merdy C, 2008, 'Rademacher averages on noncommutative symmetric spaces', Journal of Functional Analysis, 255, pp. 3329 - 3355

Journal articles | 2008

Sukochev F; Novikova A; Semenov E, 2008, 'The Banach-Saks index of spaces with a symmetric basis', Dokl. Akad. Nauk, 420, pp. 314 - 315

Journal articles | 2007

De Pagter B; Sukochev F, 2007, 'Commutator estimates and ℝ-flows in non-commutative operator spaces', Proceedings of the Edinburgh Mathematical Society, 50, pp. 293 - 324,

Journal articles | 2007

Potapov D; Sukochev F, 2007, 'Non-(quantum) differentiable C1-functions in the spaces with trivial Boyd indices', Integral Equations and Operator Theory, 57, pp. 247 - 261,

Journal articles | 2007

Sukochev F; Astashkin S, 2007, 'Banach-Saks property in Marcinkiewicz spaces', Journal of Mathematical Analysis and Applications, 336, pp. 1231 - 1258

Journal articles | 2007

Sukochev F; Azamov N; Carey AL, 2007, 'The spectral shift function and spectral flow', Communications in Mathematical Physics, 276, pp. 51 - 91,

Journal articles | 2007

Sukochev F; Carey AL; Rennie A; Sedaev A, 2007, 'The Dixmier trace and asymptotics of zeta functions', Journal of Functional Analysis, 249, pp. 253 - 283,

Journal articles | 2007

Sukochev F; De pagter B, 2007, 'Commutator estimates and R-flows in non-commutative operator spaces', Proceedings of the Edinburgh Mathematical Society, 50, pp. 247 - 261

Journal articles | 2007

Sukochev F; Dodds P; Dodds T, 2007, 'Banach-Saks properties in symmetric spaces of measurable operators', Studia Mathematica, 178, pp. 125 - 166,

Journal articles | 2007

Sukochev F; Piquard F, 2007, 'The p-Banach-Saks property in symmetric operator spaces', Illinois Journal of Mathematics, 51, pp. 1207 - 1229

Journal articles | 2007

Sukochev F; Veselova L; Tikhonov O, 2007, 'Interpolation of positive operators', Mathematical Notes, 81, pp. 37 - 50,

Journal articles | 2006

Astashkin SV; Sukochev FA, 2006, 'Sums of independent functions in symmetric spaces with the Kruglov property', Mathematical Notes, 80, pp. 593 - 598,

Journal articles | 2006

Carey AL; Sukochev FA, 2006, 'Dixmier traces and some applications in non-commutative geometry', Russian Mathematical Surveys, 61, pp. 1039 - 1099,

Journal articles | 2006

Sukochev F; Astashkin S, 2006, 'Sums of independent functions in symmetric spaces with the Kruglov property,', Mathematical Notes, 80, pp. 630 - 635

Journal articles | 2006

Sukochev F; Azamov N; Dodds P, 2006, 'The Krein spectral shift function in semifinite von Neumann algebras', Integral Equations and Operator Theory, 55, pp. 347 - 362,

Journal articles | 2006

Sukochev F; Ber A; Chilin V, 2006, 'Non-trivial derivations on commutative regular algebras', Extracta Mathematicae, 21, pp. 107 - 147

Journal articles | 2006

Sukochev F; Carey AL; Phillips J; Rennie A, 2006, 'The local index formula in semifinite von Neumann algebras I: Spectral flow', Advances in Mathematics, 202, pp. 451 - 516,

Journal articles | 2006

Sukochev F; Carey AL; Rennie A, 2006, 'The local index formula in semifinite von Neumann algebras II: The even case', Advances in Mathematics, 202, pp. 517 - 554,

Journal articles | 2006

Sukochev F; Carey AL, 2006, 'Dixmier traces and some applications in noncommutative geometry', Russian Mathematical Surveys, 61, pp. 45 - 110

Journal articles | 2006

Sukochev F; Pelczynski A, 2006, 'Some remarks on Toeplitz multipliers and Hankel matrices', Studia Mathematica, 175, pp. 175 - 204,

Journal articles | 2006

Sukochev F; Semenov E, 2006, 'Estimates for a quadratic function and the Banach-Saks p-property', St Petersburg Mathematical Journal, 18, pp. 647 - 656

Journal articles | 2005

Dodds PG; Dodds TK; Sukochev FA; Tikhonov OY, 2005, 'A non-commutative Yosida-Hewitt theorem and convex sets of measurable operators closed locally in measure', Positivity, 9, pp. 457 - 484,

Journal articles | 2005

Lord S; Sedaev A; Sukochev F, 2005, 'Dixmier traces as singular symmetric functionals and applications to measurable operators', Journal of Functional Analysis, 224, pp. 72 - 106,

Journal articles | 2005

Potapov D; Sukochev F, 2005, 'A vector-valued Littlewood-Paley theorem for arbitrary intervals and its applications', Doklady Mathematics, 72, pp. 752 - 754

Journal articles | 2005

Sukochev F; Astashkin S; Semenov E, 2005, 'The Banach-Saks p-property', Mathematische Annalen, 332, pp. 879 - 900

Journal articles | 2005

Sukochev F; Astashkin S, 2005, 'Series of independent random variables in rearrangement invariant spaces: an operator approach', Israel Journal of Mathematics, 145, pp. 125 - 156

Journal articles | 2005

Sukochev F; Azamov N, 2005, 'A Lidskii type formula for Dixmier traces', Comptes Rendus Mathematique, 340, pp. 107 - 112

Journal articles | 2005

Sukochev F; Azamov N, 2005, 'A Lidskii type formula for Dixmier traces', Comptes Rendus Mathematique, 340, pp. 107 - 112

Journal articles | 2005

Sukochev F; Dodds P; Dodds T; Tikhonov O, 2005, 'A non-commutative Yosida-Hewitt theorem and convex sets of measurable elements', Positivity, 9, pp. 457 - 484

Journal articles | 2005

Sukochev F; Potapov D, 2005, 'A vector-valued Littlewood-Paley theorem for an arbitrary set of intervals and its applications', Comptes Rendus de l`Academie des Sciences de L Urss, 404, pp. 598 - 600

Journal articles | 2005

Sukochev F; Sedaev A; Lord S, 2005, 'Connes-Dixmier traces, singular symmetric functionals, and the concept of Connes-measurable elements', Mathematical Notes, 77, pp. 671 - 676,

Journal articles | 2005

Sukochev F; Van ackooij W; De pagter B, 2005, 'Domains of infinitesimal generators of automorphism flows', Journal of Functional Analysis, 218, pp. 409 - 424,

Journal articles | 2004

Astashkin SV; Sukochev FA, 2004, 'Comparison of sums of independent and disjoint functions in symmetric spaces', Mathematical Notes, 76, pp. 449 - 454,

Journal articles | 2004

Ber AF; Sukochev FA; Chilin VI, 2004, 'Derivations in commutative regular algebras', Mathematical Notes, 75, pp. 418 - 419,

Journal articles | 2004

Lord S; Sedaev AA; Sukochev FA, 2004, 'Connes-dixmier traces, singular symmetric functionals, and measurable elements in the sense of connes', Mathematical Notes, 76, pp. 884 - 889,

Journal articles | 2004

Lord S; Sukochev F; Sedaev A, 2004, 'Connes-Dixmier traces, singular symmetric functionals, and measurable elements in the sense of Connes', Matematicheskie Zametki, 76, pp. 948 - 953

Journal articles | 2004

Semënov EM; Sukochev FA, 2004, 'The Banach-Saks index', Sbornik Mathematics, 195, pp. 263 - 285,

Journal articles | 2004

Sukochev F; Astashkin S, 2004, 'Comparison of sums of independent and disjoint functions in symmetric', Matematicheskie Zametki, 76, pp. 483 - 489

Journal articles | 2004

Sukochev F; Ber A; Chilin V, 2004, 'Derivations in commutative regular algebras', Matematicheskie Zametki, 75, pp. 453 - 454

Journal articles | 2004

Sukochev F; Carey AL; Phillips J; Rennie A, 2004, 'The Hochschild class of the Chern character for semifinite spectral triples,', Journal of Functional Analysis, 213, pp. 111 - 153,

Journal articles | 2004

Sukochev F; De pagter B, 2004, 'Differentiation of operator functions in non-commutative Lp-spaces', Journal of Functional Analysis, 212, pp. 28 - 75,

Journal articles | 2004

Sukochev F; Dodds P; Dodds T; Sedaev A, 2004, 'Local uniform convexity and Kadec-Klee type properties in K-interpolation spaces I. General theory', Journal of Function Spaces and Applications, 2, pp. 125 - 173

Journal articles | 2004

Sukochev F; Dodds P; Dodds T; Sedaev A, 2004, 'Local uniform convexity and Kadec-Klee type properties in K-interpolation spaces II,', Journal of Function Spaces and Applications, 2, pp. 323 - 356

Journal articles | 2004

Sukochev F; Dodds P; Semenov E, 2004, 'The Banach-Saks property in rearrangement invariant spaces', Studia Mathematica, 162, pp. 263 - 294

Journal articles | 2004

Sukochev F; Semenov E, 2004, 'The Banach-Saks index', Sbornik Mathematics, 195, pp. 117 - 140

Journal articles | 2003

Haagerup U; Rosenthal HP; Sukochev FA, 2003, 'Banach embedding properties of non-commutative L^p-spaces', Memoirs of the American Mathematical Society

Journal articles | 2003

Semenov EM; Sukochev FA, 2003, 'The Banach-Saks index of rearrangement invariant spaces on [0, 1]', Comptes Rendus Mathematique, 337, pp. 397 - 401,

Journal articles | 2003

Sukochev F; Carey AL; Phillips J, 2003, 'Spectral flow and Dixmier traces', Advances in Mathematics, 173, pp. 68 - 113,

Journal articles | 2003

Sukochev F; Dodds P; De pagter B; Semenov E; Sedaev A, 2003, 'Singular symmetric functionals and Banach limits with additional properties', Izvestiya Atmospheric and Oceanic Physics, 67, pp. 1187 - 1212,

Journal articles | 2003

Sukochev F; Haagerup U; Rosenthal H, 2003, 'Banach embedding properties of non-commutative Lp-spaces', Memoirs of the American Mathematical Society, 163

Journal articles | 2003

Sukochev F; Xu Q, 2003, 'Embedding of non-commutative Lp-spaces', Archiv der Mathematik, 80, pp. 151 - 164,

Journal articles | 2002

De Pagter B; Witvliet H; Sukochev FA, 2002, 'Double operator integrals', Journal of Functional Analysis, 192, pp. 52 - 111,

Journal articles | 2002

Dodds PG; Semenov EM; Sukochev FA; Franchetti C, 2002, 'Banach-Saks property for function spaces', Doklady Akademii Nauk, 385, pp. 587 - 590

Journal articles | 2002

Dodds PG; Semenov EM; Sukochev FA; Franchetti C, 2002, 'The Banach-Saks property for function spaces', Doklady Mathematics, 66, pp. 91 - 93

Journal articles | 2002

Dodds PG; Semenov EM; Sukochev FA, 2002, 'RUC systems in rearrangement invariant spaces', Studia Mathematica, 151, pp. 161 - 173,

Journal articles | 2001

Dodds PG; Ferleger SV; De Pagter B; Sukochev FA, 2001, 'Vilenkin systems and generalized triangular truncation operator', Integral Equations and Operator Theory, 40, pp. 403 - 435,

Journal articles | 2001

Dodds PG; Sukochev FA; Schlüchtermann G, 2001, 'Weak compactness criteria in symmetric spaces of measurable operators', Mathematical Proceedings of the Cambridge Philosophical Society, 131, pp. 363 - 384,

Journal articles | 2000

Carey AL; Phillips J; Sukochev FA, 2000, 'On Unbounded p-Summable Fredholm Modules', Advances in Mathematics, 151, pp. 140 - 163,

Journal articles | 2000

Clément P; De Pagter B; Sukochev FA; Witvliet H, 2000, 'Schauder decompositions and multiplier theorems', Studia Mathematica, 138, pp. 135 - 163

Journal articles | 2000

Dodds PG; Sukochev FA, 2000, 'Non-commutative bounded Vilenkin systems', Mathematica Scandinavica, 87, pp. 73 - 92,

Journal articles | 2000

Haagerup U; Rosenthal HP; Sukochev FA, 2000, 'On the Banach-isomorphic classification of Lp spaces of hyperfinite von Neumann algebras', Comptes Rendus de l'Academie des Sciences - Series I: Mathematics, 331, pp. 691 - 695,

Journal articles | 2000

Sukochev FA, 2000, 'Linear-topological classification of separable Lp-spaces associated with von Neumann algebras of type I', Israel Journal of Mathematics, 115, pp. 137 - 156,

Journal articles | 2000

Sukochev FA, 2000, 'Operator estimates for Fredholm modules', Canadian Journal of Mathematics, 52, pp. 849 - 896,

Journal articles | 1999

Dodds PG; Dodds TK; De Pagter B; Sukochev FA, 1999, 'Lipschitz continuity of the absolute value in preduals of semifinite factors', Integral Equations and Operator Theory, 34, pp. 28 - 44,

Journal articles | 1999

Sedaev AA; Semenov EM; Sukochev FA, 1999, 'Estimates of Perturbations of the Operator Function D(1 + D²)^1/2 Based on a Nonlinear Functional in Symmetric Spaces', Doklady Mathematics, 60, pp. 367 - 370

Journal articles | 1999

Sedaev AA; Semenov EM; Sukochev FA, 1999, 'Perturbation estimates for operator function D(1 + D²)^1/2 based on nonlinear functional in symmetric spaces', Doklady Akademii Nauk, 369, pp. 316 - 319

Journal articles | 1998

Dodds PG; De Pagter B; Semenov EM; Sukochev FA, 1998, 'Symmetric functionals and singular traces', Positivity, 2, pp. 47 - 75,

Journal articles | 1998

Sukochev FA, 1998, 'RUC-Bases in Orlicz and Lorentz operator spaces', Positivity, 2, pp. 265 - 279,

Journal articles | 1997

Chilin VI; Dodds PG; Sukochev FA, 1997, 'The Kadec-Klee property in symmetric spaces of measurable operators', ISRAEL JOURNAL OF MATHEMATICS, 97, pp. 203 - 219,

Journal articles | 1997

Dodds PG; Dodds TK; De Pagter B; Sukochev FA, 1997, 'Lipschitz continuity of the absolute value and Riesz projections in symmetric operator spaces', Journal of Functional Analysis, 148, pp. 28 - 69,

Journal articles | 1997

Dodds PG; Dodds TK; Sukochev FA, 1997, 'Lifting of kadec-klee properties to symmetric spaces of measurable operators', Proceedings of the American Mathematical Society, 125, pp. 1457 - 1467,

Journal articles | 1997

Dodds PG; Sukochev FA, 1997, 'RUC-decompositions in symmetric operator spaces', Integral Equations and Operator Theory, 29, pp. 269 - 287,

Journal articles | 1996

Ayupov SA; Ferleger SV; Sukochev FA, 1996, 'Isomorphism between the associative and non-associative LP-spaces of type II1 hyperfinite factors', Mathematica Scandinavica, 78, pp. 271 - 285,

Journal articles | 1996

Chilin VI; Dodds PG; Sedaev AA; Sukochev FA, 1996, 'Characterizations of kadec-klee properties in symmetric spaces of measurable functions', Transactions of the American Mathematical Society, 348, pp. 4895 - 4918,

Journal articles | 1996

Dodds PG; Sukochev FA, 1996, 'Contractibility of the Linear Group in Banach Spaces of Measurable Operators', Integral Equations and Operator Theory, 26, pp. 305 - 337,

Journal articles | 1996

Ferleger SV; Sukochev FA, 1996, 'On the contractibility to a point of the linear groups of reflexive non-commutative L^p-spaces', Mathematical Proceedings of the Cambridge Philosophical Society, 119, pp. 545 - 560,

Journal articles | 1996

Sukochev FA, 1996, 'Isometries of symmetric operator spaces associated with AFD factors of type II and symmetric vector-valued spaces', Integral Equations and Operator Theory, 26, pp. 102 - 124,

Journal articles | 1996

Sukochev FA, 1996, 'Non-isomorphism of LP-spaces associated with finite and infinite von Neumann algebras', Proceedings of the American Mathematical Society, 124, pp. 1517 - 1527,

Journal articles | 1995

Dodds PG; Dodds TK; Dowling PN; Lennard CJ; Sukochev FA, 1995, 'A Uniform Kadec-Klee Property for Symmetric Operator Spaces', Mathematical Proceedings of the Cambridge Philosophical Society, 118, pp. 487 - 502,

Journal articles | 1995

Sukochev FA; Ferleger SV, 1995, 'Harmonic analysis in (UMD)-spaces: Applications to the theory of bases', Mathematical Notes, 58, pp. 1315 - 1326,

Journal articles | 1995

Sukochev FA; Sheremetyev VE, 1995, 'The linear groups of injective factors and of matroid C*algebras are contractible to a point', MATHEMATICA SCANDINAVICA, 77, pp. 119 - 128,

Journal articles | 1995

Sukochev FA, 1995, 'On the uniform kadec-klee property with respect to convergence in measure', Journal of the Australian Mathematical Society, 59, pp. 343 - 352,

Journal articles | 1994

SEDAEV AA; SUKOCHEV FA, 1994, 'KADEC-KLEE AND LOCAL UNIFORM CONVEXITY PROPERTIES IN THE INTERPOLATION SPACES OF K-METHOD', DOKLADY AKADEMII NAUK, 338, pp. 736 - 739,

Journal articles | 1994

SUKOCHEV FA; FERLEGER SV, 1994, 'HARMONIC-ANALYSIS IN SYMMETRICAL SPACES OF MEASURABLE OPERATORS', DOKLADY AKADEMII NAUK, 339, pp. 307 - 310,

Journal articles | 1994

Sukochev FA; Ferleger SV, 1994, 'The Matsaev theorem for symmetric spaces of measurable operators', Mathematical Notes, 56, pp. 1185 - 1189,

Journal articles | 1994

Sukochev FA, 1994, 'RUC-bases in E(L∞711-01711-01711-01 B(H)) and F(CE)', Mathematical Notes, 56, pp. 711 - 721,

Journal articles | 1992

Sukochev FA, 1992, 'The property (MLUR) in symmetric (KB)-spaces', Mathematical Notes, 52, pp. 1280 - 1282,

Journal articles | 1991

KRYGIN AV; SUKOCHEV FA; CHILIN VI, 1991, 'UNIFORM CONVEXITY AND LOCAL UNIFORM CONVEXITY OF SYMMETRICAL SPACES OF MEASURABLE OPERATORS', DOKLADY AKADEMII NAUK SSSR, 317, pp. 555 - 558,

Journal articles | 1990

SUKOCHEV FA; CHILIN VI, 1990, 'DEGREE CONVERGENCE IN CURRENT NONCOMMUTATIVE SYMMETRICAL SPACES', IZVESTIYA VYSSHIKH UCHEBNYKH ZAVEDENII MATEMATIKA, pp. 63 - 70,
Preprints | 2023

Ber A; Borst M; Sukochev F, 2023, Commutator estimates for normal operators in factors with applications to derivations, ,

Conference Papers | 2023

McDonald E; Sukochev F; Xiong X, 2023, 'Quantum differentiability – the analytical perspective', in Proceedings of Symposia in Pure Mathematics, pp. 257,

Preprints | 2022

Astashkin S; Huang J; Pliev M; Sukochev F; Zanin D, 2022, Optimal range of Haar martingale transforms and its applications, ,

Preprints | 2022

Azamov N; Hekkelman E; McDonald E; Sukochev F; Zanin D, 2022, An Application of Singular Traces to Crystals and Percolation, ,

Preprints | 2022

Frank RL; Sukochev F; Zanin D, 2022, Asymptotics of singular values for quantum derivatives, ,

Preprints | 2021

Azamov N; McDonald E; Zanin D; Sukochev F, 2021, The density of states depends on the domain, ,

Preprints | 2021

Ber AF; Borst MJ; Borst SJ; Sukochev FA, 2021, A multidimensional solution to additive homological equations, ,

Preprints | 2021

Carey A; Gesztesy F; Levitina G; Nichols R; Sukochev F; Zanin D, 2021, The limiting absorption principle for massless Dirac operators, properties of spectral shift functions, and an application to the Witten index of non-Fredholm operators, ,

Preprints | 2021

Carey A; Levitina G; Potapov D; Sukochev F, 2021, The Witten index and the spectral shift function, ,

Preprints | 2021

Jiao Y; Sukochev F; Wu L; Zanin D, 2021, Distributional inequalities for noncommutative martingales, ,

Preprints | 2021

McDonald E; Scheckter TT; Sukochev F, 2021, Estimates for Schur Multipliers and Double Operator Integrals -- A Wavelet Approach, ,

Preprints | 2020

Ber A; Huang J; Kudaybergenov K; Sukochev F, 2020, Non-existence of translation-invariant derivations on algebras of measurable functions, ,

Preprints | 2020

Caspers M; Sukochev F; Zanin D, 2020, Weak $(1,1)$ estimates for multiple operator integrals and generalized absolute value functions, ,

Preprints | 2020

Nessipbayev Y; Sukochev F; Tulenov K, 2020, Weak compactness criteria in $L_1$ space in terms of Orlicz function, ,

Preprints | 2020

Sukochev F; Tulenov K; Zanin D, 2020, Corrigendum to the paper "The optimal range of the Calderon operator and its applications." [J. Funct. Anal. 277 (2019), no. 10, 3513--3559, arXiv:1908.09548], ,

Preprints | 2019

Azamov N; McDonald E; Sukochev F; Zanin D, 2019, A Dixmier trace formula for the density of states, ,

Preprints | 2019

Ber A; Kudaybergenov K; Sukochev F, 2019, Notes on derivations of Murray--von Neumann algebras, ,

Preprints | 2019

Ber AF; Borst MJ; Sukochev FA, 2019, Full proof of Kwapień's theorem on representing bounded mean zero functions on $[0,1]$, ,

Preprints | 2019

Caspers M; Junge M; Sukochev F; Zanin D, 2019, BMO-estimates for non-commutative vector valued Lipschitz functions, ,

Preprints | 2019

Dauitbek D; Huang J; Sukochev F, 2019, Extreme points of the set of elements majorised by an integrable function: Resolution of a problem by Luxemburg and of its noncommutative counterpart, ,

Preprints | 2019

Dodds P; Dodds T; Sukochev F; Zanin D, 2019, Logarithmic submajorization, uniform majorization and Hölder type inequalities for $\tau$-measurable operators, ,

Preprints | 2019

Jiao Y; Xie G; Sukochev F; Zanin D, 2019, Rosenthal's inequalities: $\Delta-$norms and quasi-Banach symmetric sequence spaces, ,

Preprints | 2019

Sukochev F; Tulenov K; Zanin D, 2019, The boundedness of the Hilbert transformation from one rearrangement invariant Banach space into another and applications, ,

Preprints | 2019

Sukochev F; Tulenov K; Zanin D, 2019, The optimal range of the Calder\`{o}n operator and its applications, ,

Preprints | 2018

Connes A; Levitina G; McDonald E; Sukochev F; Zanin D, 2018, Noncommutative Geometry for Symmetric Non-Self-Adjoint Operators, ,

Preprints | 2017

Carey A; Gesztesy F; Kaad J; Levitina G; Nichols R; Potapov D; Sukochev F, 2017, On the Global Limiting Absorption Principle for Massless Dirac Operators, ,

Preprints | 2017

Caspers M; Sukochev F; Zanin D, 2017, Weak type operator Lipschitz and commutator estimates for commuting tuples, ,

Preprints | 2017

Charlesworth I; Dykema K; Sukochev F; Zanin D, 2017, Simultaneous upper triangular forms for commuting operators in a finite von Neumann algebra, ,

Preprints | 2017

Coine C; Merdy CL; Skripka A; Sukochev F, 2017, Higher order $\Sc^2$-differentiability and application to Koplienko trace formula, ,

Preprints | 2017

Coine C; Merdy CL; Sukochev F, 2017, When do triple operator integrals take value in the trace class?, ,

Preprints | 2017

Levitina G; Sukochev F; Zanin D, 2017, Cwikel estimates revisited, ,

Preprints | 2016

Carey A; Gesztesy F; Grosse H; Levitina G; Potapov D; Sukochev F; Zanin D, 2016, Trace Formulas for a Class of non-Fredholm Operators: A Review, ,

Conference Papers | 2016

Carey A; Gesztesy F; Levitina G; Sukochev F, 2016, 'The spectral shift function and the witten index', in Operator Theory: Advances and Applications, pp. 71 - 105,

Preprints | 2016

Jiao Y; Sukochev F; Xie G; Zanin D, 2016, $\Phi$-moment inequalities for independent and freely independent random variables, ,

Preprints | 2016

Jiao Y; Sukochev F; Zanin D; Zhou D, 2016, Johnson-Schechtman inequalities for noncommutative martingales, ,

Preprints | 2016

Jiao Y; Sukochev F; Zanin D, 2016, Johnson-Schechtman and Khinchine inequalities in noncommutative probability theory, ,

Preprints | 2016

Potapov D; Sukochev F; Usachev A; Zanin D, 2016, Singular traces and perturbation formulae of higher order, ,

Preprints | 2015

Aubrun G; Sukochev F; Zanin D, 2015, Catalysis in the trace class and weak trace class ideals, ,

Preprints | 2015

Carey A; Gesztesy F; Levitina G; Nichols R; Potapov D; Sukochev F, 2015, Double operator integral methods applied to continuity of spectral shift functions, ,

Preprints | 2015

Carey A; Gesztesy F; Levitina G; Potapov D; Sukochev F; Zanin D, 2015, On Index Theory for Non-Fredholm Operators: A $(1+1)$-Dimensional Example, ,

Preprints | 2015

Carey A; Gesztesy F; Levitina G; Sukochev F, 2015, On the Index of a Non-Fredholm Model Operator, ,

Preprints | 2015

Carey A; Gesztesy F; Levitina G; Sukochev F, 2015, The Spectral shift function and the Witten index, ,

Preprints | 2015

Caspers M; Potapov D; Sukochev F; Zanin D, 2015, Weak type commutator and Lipschitz estimates: resolution of the Nazarov-Peller conjecture, ,

Preprints | 2015

Coine C; Merdy CL; Potapov D; Sukochev F; Tomskova A, 2015, Peller's problem concerning Koplienko-Neidhardt trace formulae: the unitary case, ,

Preprints | 2015

Coine C; Merdy CL; Potapov D; Sukochev F; Tomskova A, 2015, Resolution of Peller's problem concerning Koplienko-Neidhardt trace formulae, ,

Preprints | 2015

Dykema K; Noles J; Sukochev F; Zanin D, 2015, On reduction theory and Brown measure for closed unbounded operators, ,

Preprints | 2015

Dykema K; Sukochev F; Zanin D, 2015, Algebras of log-integrable functions and operators, ,

Preprints | 2015

Dykema K; Sukochev F; Zanin D, 2015, An upper triangular decomposition theorem for some unbounded operators affiliated to II_1-factors, ,

Preprints | 2015

Rozendaal J; Sukochev F; Tomskova A, 2015, Operator Lipschitz functions on Banach spaces, ,

Preprints | 2014

Astashkin S; Sukochev F; Zanin D, 2014, On uniqueness of distribution of a random variable whose independent copies span a subspace in L_p, ,

Preprints | 2014

Carey A; Gayral V; Phillips J; Rennie A; Sukochev F, 2014, Spectral flow for nonunital spectral triples, ,

Preprints | 2014

Carey A; Gesztesy F; Potapov D; Sukochev F; Tomilov Y, 2014, A Jost-Pais-type reduction of Fredholm determinants and some applications, ,

Preprints | 2014

Carey A; Gesztesy F; Potapov D; Sukochev F; Tomilov Y, 2014, On the Witten index in terms of spectral shift functions, ,

Preprints | 2014

Gesztesy F; Latushkin Y; Sukochev F; Tomilov Y, 2014, Some Operator Bounds Employing Complex Interpolation Revisited, ,

Conference Papers | 2013

Carey AL; Phillips J; Rennie A; Sukochev FA, 2013, 'The Local Index Formula in Noncommutative Geometry Revisited', in Noncommutative Geometry and Physics 3, WORLD SCIENTIFIC, pp. 3 - 36, presented at Proceedings of the Noncommutative Geometry and Physics 2008, on K-Theory and D-Branes & Proceedings of the RIMS Thematic Year 2010 on Perspectives in Deformation Quantization and Noncommutative Geometry,

Preprints | 2013

Caspers M; Potapov D; Sukochev F; Zanin D, 2013, Weak type estimates for the absolute value mapping, ,

Preprints | 2013

Dykema K; Sukochev F; Zanin D, 2013, Holomorphic functional calculus on upper triangular forms in finite von Neumann algebras, ,

Preprints | 2013

Gayral V; Sukochev F, 2013, Dixmier traces and extrapolation description of noncommutative Lorentz spaces, ,

Preprints | 2012

Ber AF; Chilin VI; Levitina GB; Sukochev FA, 2012, Derivations on symmetric quasi-Banach ideals of compact operators, ,

Preprints | 2012

Caspers M; Montgomery-Smith S; Potapov D; Sukochev F, 2012, The best constants for operator Lipschitz functions on Schatten classes, ,

Preprints | 2012

Kalton N; Lord S; Potapov D; Sukochev F, 2012, Traces of compact operators and the noncommutative residue, ,

Preprints | 2012

Potapov D; Skripka A; Sukochev F, 2012, Higher order spectral shift for contractions, ,

Preprints | 2011

Carey A; Gayral V; Rennie A; Sukochev F, 2011, Index theory for locally compact noncommutative geometries, ,

Preprints | 2011

Caspers M; Potapov D; Sukochev F, 2011, The Walsh basis in the Lp-spaces of hyperfinite III_\lambda-factors, 0 < \lambda <= 1, ,

Preprints | 2010

Aleksandrov A; Peller V; Potapov D; Sukochev F, 2010, Functions of normal operators under perturbations, ,

Preprints | 2010

Aleksandrov A; Peller V; Potapov D; Sukochev F, 2010, Functions of perturbed normal operators, ,

Preprints | 2010

Astashkin SV; Zanin DV; Semenov EM; Sukochev FA, 2010, Kruglov operator and operators defined by random permutations, ,

Preprints | 2010

Gesztesy F; Gomilko A; Sukochev F; Tomilov Y, 2010, On a Question of A. E. Nussbaum on Measurability of Families of Closed Linear Operators in a Hilbert Space, ,

Preprints | 2010

Gesztesy F; Latushkin Y; Makarov KA; Sukochev F; Tomilov Y, 2010, The index formula and the spectral shift function for relatively trace class perturbations, ,

Preprints | 2009

Carey A; Gayral V; Rennie A; Sukochev F, 2009, Integration on locally compact noncommutative spaces, ,

Preprints | 2009

Lord S; Sukochev FA, 2009, Noncommutative Residues and a Characterisation of the Noncommutative Integral, ,

Preprints | 2009

Potapov D; Skripka A; Sukochev F, 2009, Spectral shift function of higher order, ,

Preprints | 2008

Merdy CL; Sukochev F, 2008, Rademacher averages on noncommutative symmetric spaces, ,

Preprints | 2007

Azamov NA; Carey AL; Dodds PG; Sukochev FA, 2007, Operator integrals, spectral shift and spectral flow, ,

Preprints | 2007

Azamov NA; Carey AL; Sukochev FA, 2007, The spectral shift function and spectral flow, ,

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