Select Publications

Books

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, http://dx.doi.org/10.4171/mems/4

Lord S; McDonald E; Sukochev F; Zanin D, 2023, Singular Traces: Second Edition, http://dx.doi.org/10.1515/9783110700176

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

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

Book Chapters

Dodds PG; de Pagter B; Sukochev FA, 2023, 'Examples', in Progress in Mathematics, Springer Nature Switzerland, pp. 391 - 454, http://dx.doi.org/10.1007/978-3-031-49654-7_6

Dodds PG; de Pagter B; Sukochev FA, 2023, 'Interpolation', in Progress in Mathematics, Springer Nature Switzerland, pp. 455 - 544, http://dx.doi.org/10.1007/978-3-031-49654-7_7

Dodds PG; de Pagter B; Sukochev FA, 2023, 'Singular Value Functions', in Progress in Mathematics, Springer Nature Switzerland, pp. 121 - 237, http://dx.doi.org/10.1007/978-3-031-49654-7_3

Dodds PG; de Pagter B; Sukochev FA, 2023, 'Strongly Symmetric Spaces of $$\tau $$-Measurable Operators', in Progress in Mathematics, Springer Nature Switzerland, pp. 297 - 389, http://dx.doi.org/10.1007/978-3-031-49654-7_5

Dodds PG; de Pagter B; Sukochev FA, 2023, 'Symmetric Spaces of $$\tau $$-Measurable Operators', in Progress in Mathematics, Springer Nature Switzerland, pp. 239 - 295, http://dx.doi.org/10.1007/978-3-031-49654-7_4

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

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, http://dx.doi.org/10.1007/978-3-030-55556-6_10

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, http://dx.doi.org/10.1007/978-3-030-10850-2_24

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, http://dx.doi.org/10.1007/978-3-319-18494-4_14

Sukochev F, 2013, 'On a conjecture of A. Bikchentaev', in , American Mathematical Society, pp. 327 - 339, http://dx.doi.org/10.1090/pspum/087/01428

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, World Scientific, Singapore

Journal articles

Kordyukov Y; Sukochev F; Zanin D, 2024, '$C^{\ast}$-algebraic approach to the principal symbol. III', Journal of Noncommutative Geometry, pp. 1 - 50, http://dx.doi.org/10.4171/jncg/553

Fan Z; Li J; McDonald E; Sukochev F; Zanin D, 2024, 'Endpoint weak Schatten class estimates and trace formula for commutators of Riesz transforms with multipliers on Heisenberg groups', Journal of Functional Analysis, 286, http://dx.doi.org/10.1016/j.jfa.2023.110188

Huang J; Pliev M; Sukochev F, 2023, '(Strongly-)Dunford–Pettis Operators and Narrow Operators', Integral Equations and Operator Theory, 95, http://dx.doi.org/10.1007/s00020-023-02739-2

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, http://dx.doi.org/10.1093/imrn/rnac273

McDonald E; Sukochev F; Zanin D, 2023, 'Spectral estimates and asymptotics for stratified Lie groups', Journal of Functional Analysis, 285, http://dx.doi.org/10.1016/j.jfa.2023.110105

Dzhusoeva N; Huang J; Pliev M; Sukochev F, 2023, 'Lateral order on complex vector lattices and narrow operators', Mathematische Nachrichten, 296, pp. 5157 - 5170, http://dx.doi.org/10.1002/mana.202200415

Ber A; Sukochev F; Zanin D; Zhao H, 2023, 'Diagonality modulo hybrid Lorentz-(p,1) ideals in semifinite factors', Journal of Functional Analysis, 285, http://dx.doi.org/10.1016/j.jfa.2023.110071

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, http://dx.doi.org/10.1016/j.jfa.2023.110072

Sukochev F; Xiong X; Zanin D, 2023, 'Asymptotics of singular values for quantised derivatives on noncommutative tori', Journal of Functional Analysis, 285, http://dx.doi.org/10.1016/j.jfa.2023.110021

Huang J; Kudaybergenov K; Sukochev F, 2023, 'Ring derivations of Murray–von Neumann algebras', Linear Algebra and Its Applications, 672, pp. 28 - 52, http://dx.doi.org/10.1016/j.laa.2023.04.011

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, http://dx.doi.org/10.1007/s43036-023-00279-5

Sukochev F; Zanin D, 2023, 'SYMMETRIC BANACH SEQUENCE SPACES RESPECT WEYL SUBMAJORIZATION', Proceedings of the American Mathematical Society, 151, pp. 2907 - 2917, http://dx.doi.org/10.1090/proc/15791

Semenov E; Sukochev F; Usachev A, 2023, 'Banach Limits and Their Applications', Notices of the American Mathematical Society, 70, pp. 918 - 925, http://dx.doi.org/10.1090/noti2718

Pliev M; Sukochev F, 2023, 'Narrow operators on tensor products of Köthe spaces', Journal of Mathematical Analysis and Applications, 522, http://dx.doi.org/10.1016/j.jmaa.2022.126950

Huang J; Sukochev F, 2023, 'Hermitian operators and isometries on symmetric operator spaces', Journal of the European Mathematical Society, http://dx.doi.org/10.4171/jems/1332

Sukochev F; Zanin D, 2023, 'Optimal Cwikel–Solomyak Estimates', Journal of Fourier Analysis and Applications, 29, http://dx.doi.org/10.1007/s00041-023-10003-9

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, http://dx.doi.org/10.1007/s11854-022-0257-9

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, http://dx.doi.org/10.1090/proc/16173

Frank RL; Sukochev F; Zanin D, 2023, 'ASYMPTOTICS OF SINGULAR VALUES FOR QUANTUM DERIVATIVES', Transactions of the American Mathematical Society, 376, pp. 2047 - 2088, http://dx.doi.org/10.1090/tran/8827

Zanin DV; Sukochev FA, 2023, 'Connes Integration Formula: A Constructive Approach', Functional Analysis and its Applications, 57, pp. 40 - 59, http://dx.doi.org/10.1134/S0016266323010045

Jiao Y; Sukochev F; Wu L; Zanin D, 2023, 'Distributional inequalities for noncommutative martingales', Journal of Functional Analysis, 284, http://dx.doi.org/10.1016/j.jfa.2022.109798

Ber AF; Borst MJ; Borst SJ; Sukochev FA, 2023, 'A solution to the multidimensional additive homological equation', Izvestiya Mathematics, 87, pp. 201 - 251, http://dx.doi.org/10.4213/im9319e

Huang J; Sukochev F, 2023, 'Derivations with values in noncommutative symmetric spaces', Comptes Rendus Mathematique, 361, pp. 1357 - 1365, http://dx.doi.org/10.5802/CRMATH.508

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, http://dx.doi.org/10.2989/16073606.2022.2053225

Zanin DV; Sukochev FA, 2023, 'Connes integration formula: a constructive approach', Функциональный анализ и его приложения, 57, pp. 52 - 76, http://dx.doi.org/10.4213/faa4025

Ber AF; Borst M; Borst S; Sukochev FA, 2023, 'Решение многомерного аддитивного гомологического уравнения', Известия Российской академии наук. Серия математическая, 87, pp. 3 - 55, http://dx.doi.org/10.4213/im9319

Azamov N; McDonald E; Sukochev F; Zanin D, 2022, 'THE DENSITY OF STATES DEPENDS ON THE DOMAIN', Operators and Matrices, 16, pp. 1185 - 1189, http://dx.doi.org/10.7153/oam-2022-16-77

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, http://dx.doi.org/10.1093/imrn/rnab197

Ber A; Kudaybergenov K; Sukochev F, 2022, 'Derivations of Murray-von Neumann algebras', Journal fur die Reine und Angewandte Mathematik, 2022, pp. 283 - 301, http://dx.doi.org/10.1515/crelle-2022-0051

Huang J; Pliev M; Sukochev F, 2022, 'On Narrow Operators from Lp into Operator Ideals', Mediterranean Journal of Mathematics, 19, http://dx.doi.org/10.1007/s00009-022-02118-y

Huang J; Sadovskaya O; Sukochev F, 2022, 'On Arazy's problem concerning isomorphic embeddings of ideals of compact operators', Advances in Mathematics, 406, http://dx.doi.org/10.1016/j.aim.2022.108530

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, http://dx.doi.org/10.1016/j.geomphys.2022.104608

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, http://dx.doi.org/10.1007/s13163-021-00406-x

McDonald E; Sukochev F; Zanin D, 2022, 'A noncommutative Tauberian theorem and Weyl asymptotics in noncommutative geometry', Letters in Mathematical Physics, 112, http://dx.doi.org/10.1007/s11005-022-01568-5

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, http://dx.doi.org/10.1016/j.jmaa.2022.126043


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