By Scientia Professor Fedor Sukochev

Books

Kordyukov Y; Sukochev F; Zanin D, 2024, Principal Symbol Calculus on Contact Manifolds, Springer Nature Switzerland, http://dx.doi.org/10.1007/978-3-031-69926-9

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. Volume 2, Trace Formulas, De Gruyter, http://dx.doi.org/10.1515/9783110700176

Lord S; Sukochev F; Zanin DV, 2012, Singular Traces: Theory and Applications, Walter de Gruyter GmbH, Germany, http://dx.doi.org/10.1515/9783110262551

Book Chapters

Dodds PG; de Pagter B; Sukochev FA, 2023, 'Noncommutative Integration and Operator Theory', in Progress in Mathematics, pp. 1 - 572, http://dx.doi.org/10.1007/978-3-031-49654-7

Sukochev F; Zanin D, 2023, 'THE CONNES CHARACTER FORMULA FOR LOCALLY COMPACT SPECTRAL TRIPLES', in Asterisque, pp. 1 - 150

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

Buskes G; de Jeu M; Dodds P; Schep A; Sukochev F; van Neerven J; Wickstead A, 2019, 'Preface', in , pp. vii

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

Sukochev F; Tulenov K; Zanin D, 2025, 'Sobolev projection on quantum torus, its complete boundedness and applications', Journal of Mathematical Analysis and Applications, 543, http://dx.doi.org/10.1016/j.jmaa.2024.128906

Pliev M; Sukochev F, 2025, 'Orthogonally additive operators on complex vector lattices', Journal of Mathematical Analysis and Applications, 541, http://dx.doi.org/10.1016/j.jmaa.2024.128719

Potapov D; Sukochev F; Zhou D, 2024, 'Noncommutative Nest Hardy Spaces and Martingales', International Mathematics Research Notices, 2024, pp. 13724 - 13757, http://dx.doi.org/10.1093/imrn/rnae218

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, http://dx.doi.org/10.1090/tran/9117

Frank RL; Sukochev F; Zanin D, 2024, 'Endpoint Schatten class properties of commutators', Advances in Mathematics, 450, http://dx.doi.org/10.1016/j.aim.2024.109738

Jiao Y; Quan X; Sukochev F; Zanin D, 2024, 'On noncommutative distributional Khintchine type inequalities', Bulletin of the London Mathematical Society, 56, pp. 2278 - 2295, http://dx.doi.org/10.1112/blms.13055

Ber A; Huang J; Sukochev F, 2024, 'Linear isometries of noncommutative L0-spaces', Bulletin of the London Mathematical Society, 56, pp. 2075 - 2092, http://dx.doi.org/10.1112/blms.13044

Dzhusoeva N; Grishenko E; Pliev M; Sukochev F, 2024, 'Narrow operators on C-complete lattice-normed spaces', Nonlinear Analysis, Theory, Methods and Applications, 243, http://dx.doi.org/10.1016/j.na.2024.113524

Kordyukov Y; Sukochev F; Zanin D, 2024, 'C ^*-algebraic approach to the principal symbol. III', Journal of Noncommutative Geometry, 18, pp. 1265 - 1314, http://dx.doi.org/10.4171/JNCG/553

Ber A; Chilin V; Sukochev F, 2024, 'Derivations in disjointly complete commutative regular algebras', Quaestiones Mathematicae, 47, pp. 23 - 86, http://dx.doi.org/10.2989/16073606.2023.2287814

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

Scheckter TT; Sukochev F; Zanin D, 2024, 'Generalised noncommutative subsequence principles', Studia Mathematica, 276, pp. 19 - 45, http://dx.doi.org/10.4064/sm230228-7-2

Huang J; Sukochev F, 2024, 'Hermitian operators and isometries on symmetric operator spaces', Journal of the European Mathematical Society, 26, pp. 3287 - 3325, http://dx.doi.org/10.4171/JEMS/1332

Sukochev F; Zanin D, 2024, 'LOCAL INVARIANTS OF NONCOMMUTATIVE TORI', St. Petersburg Mathematical Journal, 35, pp. 377 - 415, http://dx.doi.org/10.1090/spmj/1808

Cadilhac L; Sukochev F; Zanin D, 2024, 'LORENTZ–SHIMOGAKI AND ARAZY–CWIKEL THEOREMS REVISITED', Pacific Journal of Mathematics, 328, pp. 227 - 254, http://dx.doi.org/10.2140/pjm.2024.328.227

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

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

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