By Scientia Professor Fedor Sukochev

Books

Ber A; Chilin V; Levitina G; Sukochev F; Zanin D, 2025, Algebras of unbounded operators: Algebraic and topological aspects of Murray-von Neumann algebras, http://dx.doi.org/10.1515/9783111599687

Kordyukov Y; Sukochev F; Zanin D, 2024, Principal Symbol Calculus on Contact Manifolds, 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

, 2025, '1 Preliminaries on the theory of von Neumann algebras and general theory of linear operators in a Hilbert space', in Algebras of Unbounded Operators, De Gruyter, pp. 7 - 86, http://dx.doi.org/10.1515/9783111599687-002

, 2025, '2 Classes of unbounded operators', in Algebras of Unbounded Operators, De Gruyter, pp. 87 - 123, http://dx.doi.org/10.1515/9783111599687-003

, 2025, '3 Properties of locally measurable operators', in Algebras of Unbounded Operators, De Gruyter, pp. 124 - 180, http://dx.doi.org/10.1515/9783111599687-004

, 2025, '4 Topologies on algebras of unbounded operators', in Algebras of Unbounded Operators, De Gruyter, pp. 181 - 230, http://dx.doi.org/10.1515/9783111599687-005

, 2025, '5 Properties of derivations on algebras of locally measurable operators', in Algebras of Unbounded Operators, De Gruyter, pp. 231 - 275, http://dx.doi.org/10.1515/9783111599687-006

, 2025, '6 Derivations on the algebras of measurable operators affiliated with a type Ifin von Neumann algebra', in Algebras of Unbounded Operators, De Gruyter, pp. 276 - 338, http://dx.doi.org/10.1515/9783111599687-007

, 2025, '7 Complete description of derivations on algebras of locally measurable operators', in Algebras of Unbounded Operators, De Gruyter, pp. 339 - 392, http://dx.doi.org/10.1515/9783111599687-008

, 2025, 'Bibliography', in Algebras of Unbounded Operators, De Gruyter, pp. 393 - 400, http://dx.doi.org/10.1515/9783111599687-009

, 2025, 'General notation', in Algebras of Unbounded Operators, De Gruyter, pp. XI - XII, http://dx.doi.org/10.1515/9783111599687-202

, 2025, 'Introduction', in Algebras of Unbounded Operators, De Gruyter, pp. 1 - 6, http://dx.doi.org/10.1515/9783111599687-001

, 2025, 'Notation index', in Algebras of Unbounded Operators, De Gruyter, pp. 405 - 408, http://dx.doi.org/10.1515/9783111599687-011

, 2025, 'Preface', in Algebras of Unbounded Operators, De Gruyter, pp. V - VI, http://dx.doi.org/10.1515/9783111599687-201

Dodds PG; de Pagter B; Sukochev FA, 2023, 'Noncommutative Integration and Operator Theory', in , 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, http://dx.doi.org/10.24033/AST.1204

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

Kudaybergenov K; Pliev M; Sukochev F, 2025, 'Fragments of orthogonally additive operators and the nonlinear Dodds-Fremlin's theorem', Journal of Mathematical Analysis and Applications, 550, http://dx.doi.org/10.1016/j.jmaa.2025.129551

Huang J; Nessipbayev Y; Sukochev F; Zanin D, 2025, 'Compactness criteria in quasi-Banach symmetric operator spaces associated with a non-commutative torus', Journal of Functional Analysis, 289, http://dx.doi.org/10.1016/j.jfa.2025.110946

Sukochev F; Yang F; Zanin D, 2025, 'GAGLIARDO–NIRENBERG INTERPOLATION INEQUALITY FOR SYMMETRIC SPACES ON NONCOMMUTATIVE TORUS', Proceedings of the American Mathematical Society, 153, pp. 3125 - 3135, http://dx.doi.org/10.1090/proc/17229

Sukochev F; Zanin D, 2025, 'Regular traces on ideals in L(H)', Advances in Operator Theory, 10, http://dx.doi.org/10.1007/s43036-025-00446-w

Ber AF; Borst MJ; Sukochev FA, 2025, 'Commutator estimates for normal operators in factors with applications to derivations', Journal of Operator Theory, 93, pp. 251 - 289, http://dx.doi.org/10.7900/jot.2023apr21.2442

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

van Nuland T; Sukochev F; Zanin D, 2025, 'Local invariants of conformally deformed non-commutative tori II: Multiple operator integrals', Journal of Functional Analysis, 288, http://dx.doi.org/10.1016/j.jfa.2024.110754

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

Huang J; Junge M; Sukochev F; Zanin D, 2025, 'Embeddings of symmetric operator spaces into Lp-spaces, 1 ≤ p < 2, on finite von Neumann algebras', Israel Journal of Mathematics, http://dx.doi.org/10.1007/s11856-025-2743-0

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

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