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, European Mathematical Society - EMS - Publishing House, 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 D, 2012, Singular Traces: Theory and Applications, http://dx.doi.org/10.1515/978311026255

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

Huang J; Sukochev F, 2024, 'Derivations with Values into Bimodules of 𝜏-measurable Operators', in Geometry of Banach Spaces and Related Fields, American Mathematical Society (AMS), pp. 167 - 188, http://dx.doi.org/10.1090/pspum/106/01931

Lord S; McDonald E; Sukochev F; Zanin D, 2023, '1 Bounded operators and pseudodifferential operators', in Trace Formulas, De Gruyter, pp. 1 - 128, http://dx.doi.org/10.1515/9783110700176-001

Lord S; McDonald E; Sukochev F; Zanin D, 2023, '2 Trace formulas', in Trace Formulas, De Gruyter, pp. 129 - 166, http://dx.doi.org/10.1515/9783110700176-002

Lord S; McDonald E; Sukochev F; Zanin D, 2023, '3 Integration formulas', in Trace Formulas, De Gruyter, pp. 167 - 206, http://dx.doi.org/10.1515/9783110700176-003

Lord S; McDonald E; Sukochev F; Zanin D, 2023, '4 Integration formula for the noncommutative plane', in Trace Formulas, De Gruyter, pp. 207 - 277, http://dx.doi.org/10.1515/9783110700176-004

Lord S; McDonald E; Sukochev F; Zanin D, 2023, '5 A C∗-algebraic approach to principal symbols and trace formulas', in Trace Formulas, De Gruyter, pp. 278 - 348, http://dx.doi.org/10.1515/9783110700176-005

Lord S; McDonald E; Sukochev F; Zanin D, 2023, '6 Quantum differentiability for the Euclidean plane', in Trace Formulas, De Gruyter, pp. 349 - 388, http://dx.doi.org/10.1515/9783110700176-006

Lord S; McDonald E; Sukochev F; Zanin D, 2023, '7 Connes character formula', in Trace Formulas, De Gruyter, pp. 389 - 425, http://dx.doi.org/10.1515/9783110700176-007

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; Sukochev F; Zanin D, 2021, '1 What is a singular trace?', in Theory, De Gruyter, pp. 1 - 28, http://dx.doi.org/10.1515/9783110378054-001

Lord S; Sukochev F; Zanin D, 2021, '2 Singular values and submajorization', in Theory, De Gruyter, pp. 29 - 76, http://dx.doi.org/10.1515/9783110378054-002

Lord S; Sukochev F; Zanin D, 2021, '6 Dixmier traces and positive traces', in Theory, De Gruyter, pp. 185 - 224, http://dx.doi.org/10.1515/9783110378054-008

, 2021, '9 Criteria for measurability', in Theory, De Gruyter, pp. 295 - 354, http://dx.doi.org/10.1515/9783110378054-011

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 Spectral Analysis, Differential Equations and Mathematical Physics: A Festschrift in Honor of Fritz Gesztesy’s 60th Birthday, American Mathematical Society (AMS), pp. 327 - 339, http://dx.doi.org/10.1090/pspum/087/01428

Lord S; Sukochev F; Zanin D, 2012, 'Chapter 1. What is a Singular Trace?', in Singular Traces, De Gruyter, pp. 15 - 37, http://dx.doi.org/10.1515/9783110262551.15

Lord S; Sukochev F; Zanin D, 2012, 'Chapter 11. Trace Theorems', in Singular Traces, De Gruyter, pp. 336 - 381, http://dx.doi.org/10.1515/9783110262551.336

Lord S; Sukochev F; Zanin D, 2012, 'Chapter 12. Residues and Integrals in Noncommutative Geometry', in Singular Traces, De Gruyter, pp. 382 - 419, http://dx.doi.org/10.1515/9783110262551.382

Lord S; Sukochev F; Zanin D, 2012, 'Chapter 2. Preliminaries on Symmetric Operator Spaces', in Singular Traces, De Gruyter, pp. 38 - 74, http://dx.doi.org/10.1515/9783110262551.38

Lord S; Sukochev F; Zanin D, 2012, 'Chapter 3. Symmetric Operator Spaces', in Singular Traces, De Gruyter, pp. 75 - 106, http://dx.doi.org/10.1515/9783110262551.75

Lord S; Sukochev F; Zanin D, 2012, 'Chapter 4. Symmetric Functionals', in Singular Traces, De Gruyter, pp. 107 - 152, http://dx.doi.org/10.1515/9783110262551.107

Lord S; Sukochev F; Zanin D, 2012, 'Chapter 5. Commutator Subspace', in Singular Traces, De Gruyter, pp. 153 - 193, http://dx.doi.org/10.1515/9783110262551.153

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