Select Publications

Books

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

Book Chapters

Gesztesy F; Latushkin Y; Sukochev F; Tomilov Y, 2015, 'Some operator bounds employing complex interpolation revisited', in Operator Theory: Advances and Applications, pp. 213 - 239

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

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, vol. 141, pp. 593 - 610, http://dx.doi.org/10.1353/ajm.2019.0019

Semenov EM; Sukochev FA; Usachev AS, 2019, 'The main classes of invariant Banach limits', Izvestiya Mathematics, vol. 83, pp. 124 - 150, http://dx.doi.org/10.1070/IM8704

McDonald E; Sukochev F; Zanin D, 2019, 'A C -algebraic approach to the principal symbol II', Mathematische Annalen, http://dx.doi.org/10.1007/s00208-019-01822-7

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, vol. 276, pp. 3170 - 3204, http://dx.doi.org/10.1016/j.jfa.2018.09.005

Mcdonald E; Sukochev F; Xiong X, 2019, 'Quantum Differentiability on Quantum Tori', Communications in Mathematical Physics, http://dx.doi.org/10.1007/s00220-019-03384-w

Sukochev F; Veksler A, 2019, 'The Mean Ergodic Theorem in symmetric spaces', Studia Mathematica, vol. 245, pp. 229 - 253, http://dx.doi.org/10.4064/sm170311-31-10

Huang J; Sukochev F, 2019, 'Interpolation between L(M, τ) and L (M, τ)', Mathematische Zeitschrift, http://dx.doi.org/10.1007/s00209-019-02259-z

Levitina G; Sukochev F; Zanin D, 2019, 'Sign of a perturbed massive Dirac operator and associated Fredholm module', JOURNAL OF GEOMETRY AND PHYSICS, vol. 136, pp. 244 - 267, http://dx.doi.org/10.1016/j.geomphys.2018.09.017

Bikchentaev A; Sukochev F, 2019, 'When weak and local measure convergence implies norm convergence', Journal of Mathematical Analysis and Applications, vol. 473, pp. 1414 - 1431, http://dx.doi.org/10.1016/j.jmaa.2019.01.028

Connes A; Levitina G; McDonald E; Sukochev F; Zanin D, 2019, 'Noncommutative geometry for symmetric non-self-adjoint operators', Journal of Functional Analysis, vol. 277, pp. 889 - 936, http://dx.doi.org/10.1016/j.jfa.2018.12.012

Sukochev F; Zanin D, 2018, 'Ac*-Algebraicapproach Totheprincipalsymbol. I', Journal of Operator Theory, vol. 80, pp. 481 - 522, http://dx.doi.org/10.7900/jot.2017nov02.2176

Caspers M; Sukochev F; Zanin D, 2018, 'Weak type operator Lipschitz and commutator estimates for commuting tuples', Annales de l'Institut Fourier, vol. 68, pp. 1643 - 1669, http://dx.doi.org/10.5802/aif.3195

Scheckter TT; Sukochev F, 2018, 'Weak Type Estimates for the Noncommutative Vilenkin–Fourier Series', Integral Equations and Operator Theory, vol. 90, http://dx.doi.org/10.1007/s00020-018-2489-8

Sukochev F; Veksler A, 2018, 'Positive Linear Isometries in Symmetric Operator Spaces', Integral Equations and Operator Theory, vol. 90, http://dx.doi.org/10.1007/s00020-018-2483-1

Sadovskaya O; Sukochev F, 2018, 'Isomorphic classification of Lp,q-spaces: The case p = 2, 1 ≤ q < 2', Proceedings of the American Mathematical Society, vol. 146, pp. 3975 - 3984, http://dx.doi.org/10.1090/proc/14058

Ber A; Sukochev F; Zanin D, 2018, 'Heisenberg relation for locally measurable operators', Advances in Mathematics, vol. 335, pp. 211 - 230, http://dx.doi.org/10.1016/j.aim.2018.07.010

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, vol. 19, pp. 1993 - 2019, http://dx.doi.org/10.1007/s00023-018-0675-5

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, vol. 90, http://dx.doi.org/10.1007/s00020-018-2445-7

Alekhno E; Semenov E; Sukochev F; Usachev A, 2018, 'Invariant Banach limits and their extreme points', Studia Mathematica, vol. 242, pp. 79 - 107, http://dx.doi.org/10.4064/sm8785-5-2017

Ber A; Chilin V; Sukochev F; Zanin D, 2018, 'Fuglede-putnam theorem for locally measurable operators', Proceedings of the American Mathematical Society, vol. 146, pp. 1681 - 1692, http://dx.doi.org/10.1090/proc/13845

Sukochev F; Zanin D, 2018, 'Connes Integration Formula for the Noncommutative Plane', Communications in Mathematical Physics, vol. 359, pp. 449 - 466, http://dx.doi.org/10.1007/s00220-017-3008-5

Alekhno E; Semenov E; Sukochev F; Usachev A, 2017, 'Order and geometric properties of the set of banach limits', St. Petersburg Mathematical Journal, vol. 28, pp. 299 - 321, http://dx.doi.org/10.1090/spmj/1452

Sukochev F; Usachev A; Zanin D, 2017, 'Singular traces and residues of the ζ-function', Indiana University Mathematics Journal, vol. 66, pp. 1107 - 1144, http://dx.doi.org/10.1512/iumj.2017.66.6106

Connes A; Sukochev FA; Zanin DV, 2017, 'Trace theorem for quasi-fuchsian groups', Sbornik Mathematics, vol. 208, pp. 1473 - 1502, http://dx.doi.org/10.1070/SM8794

CONNES A; MCDONALD E; SUKOCHEV F; ZANIN D, 2017, 'Conformal trace theorem for Julia sets of quadratic polynomials', Ergodic Theory and Dynamical Systems, pp. 1 - 26, http://dx.doi.org/10.1017/etds.2017.124

Dykema K; Sukochev F; Zanin D, 2017, 'An upper triangular decomposition theorem for some unbounded operators affiliated to II1-factors', Israel Journal of Mathematics, vol. 222, pp. 645 - 709, http://dx.doi.org/10.1007/s11856-017-1603-y

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, vol. 222, pp. 125 - 164, http://dx.doi.org/10.1007/s11856-017-1585-9

Potapov D; Skripka A; Sukochev F; Tomskova A, 2017, 'Multilinear Schur multipliers and Schatten properties of operator Taylor remainders', Advances in Mathematics, vol. 320, pp. 1063 - 1098, http://dx.doi.org/10.1016/j.aim.2017.09.012

Alekhno EA; Semenov EM; Sukochev FA; Usachev AS, 2017, 'Banach limits: Invariance and functional characteristics', Doklady Mathematics, vol. 96, pp. 305 - 307, http://dx.doi.org/10.1134/S1064562417040019

Dykema K; Sukochev F; Zanin D, 2017, 'Determinants associated to traces on operator bimodules', Journal of Operator Theory, vol. 78, pp. 119 - 134, http://dx.doi.org/10.7900/jot.2016may31.2123

Lord S; McDonald E; Sukochev F; Zanin D, 2017, 'Quantum differentiability of essentially bounded functions on Euclidean space', Journal of Functional Analysis, vol. 273, pp. 2353 - 2387, http://dx.doi.org/10.1016/j.jfa.2017.06.020

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, vol. 132, http://dx.doi.org/10.1007/s11854-017-0003-x

Huang J; Levitina G; Sukochev F, 2017, 'Completeness of symmetric Δ-normed spaces of τ-measurable operators', Studia Mathematica, vol. 237, pp. 201 - 219, http://dx.doi.org/10.4064/sm8349-10-2016

Junge M; Sukochev F; Zanin D, 2017, 'Embeddings of operator ideals into Lp-spaces on finite von Neumann algebras', Advances in Mathematics, vol. 312, pp. 473 - 546, http://dx.doi.org/10.1016/j.aim.2017.03.031

Chilin V; Sukochev F, 2017, 'Blum–Hanson type ergodic theorems in noncommutative symmetric spaces', Journal of Functional Analysis, vol. 273, pp. 329 - 351, http://dx.doi.org/10.1016/j.jfa.2017.03.011

Sukochev F; Veksler A, 2017, 'Mean ergodic theorem in symmetric spaces', Comptes Rendus Mathematique, vol. 355, pp. 559 - 562, http://dx.doi.org/10.1016/j.crma.2017.03.014

Ber A; Huang J; Levitina G; Sukochev F, 2017, 'Derivations with values in ideals of semifinite von Neumann algebras', Journal of Functional Analysis, vol. 272, pp. 4984 - 4997, http://dx.doi.org/10.1016/j.jfa.2017.02.010

Jiao Y; Sukochev F; Zanin D; Zhou D, 2017, 'Johnson-Schechtman inequalities for noncommutative martingales', JOURNAL OF FUNCTIONAL ANALYSIS, vol. 272, pp. 976 - 1016, http://dx.doi.org/10.1016/j.jfa.2016.11.002

Sukochev F; Zanin D, 2017, 'Fubini theorem in noncommutative geometry', Journal of Functional Analysis, vol. 272, pp. 1230, http://dx.doi.org/10.1016/j.jfa.2016.10.016

Sukochev F; Tulenov K; Zanin D, 2017, 'Nehari-Type Theorem for Non-commutative Hardy Spaces', Journal of Geometric Analysis, vol. 27, pp. 1789 - 1802, http://dx.doi.org/10.1007/s12220-016-9740-9

Jiao Y; Sukochev F; Zanin D, 2016, 'Johnson–Schechtman and Khintchine inequalities in noncommutative probability theory', Journal of the London Mathematical Society, vol. 94, pp. 113 - 140, http://dx.doi.org/10.1112/jlms/jdw024

Rozendaal J; Sukochev F; Tomskova A, 2016, 'Operator lipschitz functions on Banach spaces', Studia Mathematica, vol. 232, pp. 57 - 92, http://dx.doi.org/10.4064/sm8499-3-2016

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, vol. 271, pp. 1747 - 1763, http://dx.doi.org/10.1016/j.jfa.2016.05.015

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, vol. 113, pp. 113 - 139, http://dx.doi.org/10.1112/plms/pdw024

Carey A; Gesztesy F; Levitina G; Sukochev F, 2016, 'On the index of a non-Fredholm model operator', Operators and Matrices, vol. 10, pp. 881 - 914, http://dx.doi.org/10.7153/oam-10-50

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, vol. 6, pp. 747 - 779, http://dx.doi.org/10.4171/JST/140

Dykema K; Noles J; Sukochev F; Zanin D, 2016, 'On reduction theory and Brown measure for closed unbounded operators', Journal of Functional Analysis, vol. 271, pp. 3403 - 3422, http://dx.doi.org/10.1016/j.jfa.2016.09.015


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