Select Publications

Journal articles

Dodds PG; Dodds TK; Sukochev FA; Zanin D, 2020, 'Logarithmic submajorization, uniform majorization and Hölder type inequalities for τ-measurable operators', Indagationes Mathematicae, 31, pp. 809 - 830, http://dx.doi.org/10.1016/j.indag.2020.02.004

de Pagter B; Sukochev FA, 2020, 'The Grothendieck property in Marcinkiewicz spaces', Indagationes Mathematicae, 31, pp. 791 - 808, http://dx.doi.org/10.1016/j.indag.2020.01.008

Azamov N; McDonald E; Sukochev F; Zanin D, 2020, 'A Dixmier Trace Formula for the Density of States', Communications in Mathematical Physics, 377, pp. 2597 - 2628, http://dx.doi.org/10.1007/s00220-020-03756-7

Dodds PG; Dodds TK; Sukochev FA; Zanin D, 2020, 'Arithmetic–Geometric Mean and Related Submajorisation and Norm Inequalities for τ -Measurable Operators: Part II', Integral Equations and Operator Theory, 92, http://dx.doi.org/10.1007/s00020-020-02586-5

Semenov EM; Sukochev FA; Usachev AS, 2020, 'Geometry of Banach limits and their applications', Russian Mathematical Surveys, 75, pp. 725 - 763, http://dx.doi.org/10.1070/RM9901

Britz T; Carey A; Gesztesy F; Nichols R; Sukochev F; Zanin D, 2020, 'The product formula for regularized Fredholm determinants', Proceedings of the American Mathematical Society, Series B, 8, pp. 42 - 51, http://dx.doi.org/10.1090/bproc/70

Jiao Y; Sukochev F; Zanin D, 2020, 'On subspaces spanned by freely independent random variables in noncommutative Lp-spaces', Israel Journal of Mathematics, 238, pp. 431 - 477, http://dx.doi.org/10.1007/s11856-020-2047-3

Dodds PG; Dodds TK; Sukochev FA; Zanin D, 2020, 'Arithmetic–Geometric Mean and Related Submajorisation and Norm Inequalities for τ -Measurable operators: Part I', Integral Equations and Operator Theory, 92, http://dx.doi.org/10.1007/s00020-020-02585-6

Dauitbek D; Huang J; Sukochev F, 2020, 'Extreme points of the set of elements majorised by an integrable function: Resolution of a problem by Luxemburg and of its noncommutative counterpart', Advances in Mathematics, http://dx.doi.org/10.1016/j.aim.2020.107050

Huang J; Sukochev F, 2020, 'Operator \theta-Hölder functions', Banach Journal of Mathematical Analysis, http://dx.doi.org/10.1007/s43037-020-00056-z

Caspers M; Junge M; Sukochev F; Zanin D, 2020, 'BMO-estimates for non-commutative vector valued Lipschitz functions', Journal of Functional Analysis, 278, http://dx.doi.org/10.1016/j.jfa.2019.108317

Levitina G; Sukochev F; Zanin D, 2020, 'Cwikel estimates revisited', Proceedings of the London Mathematical Society, 120, pp. 265 - 304, http://dx.doi.org/10.1112/plms.12301

Sukochev F; Zhou D, 2020, '2-co-lacunary sequences in noncommutative symmetric banach spaces', Proceedings of the American Mathematical Society, 148, pp. 2045 - 2058, http://dx.doi.org/10.1090/proc/14862

Semenov E; Sukochev F; Usachev A; Zanin D, 2020, 'INVARIANT BANACH LIMITS AND APPLICATIONS TO NONCOMMUTATIVE GEOMETRY', Pacific Journal of Mathematics, 306, pp. 357 - 373, http://dx.doi.org/10.2140/pjm.2020.306.357

Jiao Y; Sukochev F; Xie G; Zanin D, 2020, 'Rosenthal’s inequalities: ∆-norms and quasi-Banach symmetric sequence spaces', Studia Mathematica, 255, pp. 55 - 81, http://dx.doi.org/10.4064/sm190503-28-10

Jiao Y; Sukochev F; Zanin D, 2020, 'Sums of independent and freely independent identically distributed random variables', Studia Mathematica, 251, pp. 289 - 315, http://dx.doi.org/10.4064/sm180912-31-12

Semenov EM; Sukochev FA; Usachev AS, 2020, 'Геометрия банаховых пределов и их приложения', Успехи математических наук, 75, pp. 153 - 194, http://dx.doi.org/10.4213/rm9901

Sukochev F; Tulenov K; Zanin D, 2019, 'The optimal range of the Calderòn operator and its applications', Journal of Functional Analysis, 277, pp. 3513 - 3559, http://dx.doi.org/10.1016/j.jfa.2019.05.012

Mcdonald E; Sukochev F; Xiong X, 2019, 'Quantum Differentiability on Quantum Tori', Communications in Mathematical Physics, 371, pp. 1231 - 1260, http://dx.doi.org/10.1007/s00220-019-03384-w

Huang J; Sukochev F; Zanin D, 2019, 'Logarithmic submajorisation and order-preserving linear isometries', Journal of Functional Analysis, 278, pp. 108352, http://dx.doi.org/10.1016/j.jfa.2019.108352

Connes A; Mcdonald E; Sukochev F; Zanin D, 2019, 'Conformal trace theorem for Julia sets of quadratic polynomials', Ergodic Theory and Dynamical Systems, 39, pp. 2481 - 2506, http://dx.doi.org/10.1017/etds.2017.124

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

McDonald E; Sukochev F; Zanin D, 2019, 'A C*-algebraic approach to the principal symbol II', Mathematische Annalen, 374, pp. 273 - 322, http://dx.doi.org/10.1007/s00208-019-01822-7

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

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

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

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

Semenov E; Sukochev F; Usachev A; Zanin D, 2019, 'Dilation invariant Banach limits', Indagationes Mathematicae, http://dx.doi.org/10.1016/j.indag.2019.12.003

Potapov D; Sukochev F; Tomskova A; Zanin D, 2019, 'FrÉchet differentiability of the norm of Lp-spaces associated with arbitrary von Neumann algebras', Transactions of the American Mathematical Society, 371, pp. 7493 - 7532, http://dx.doi.org/10.1090/tran/7215

Huang J; Sukochev F, 2019, 'Interpolation between L(M, τ) and L (M, τ)', Mathematische Zeitschrift, pp. 1657 - 1672, http://dx.doi.org/10.1007/s00209-019-02259-z

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

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

Ber AF; Kudaybergenov KK; Sukochev FA, 2019, 'Дифференцирования на алгебрах Мюррея-фон Неймана', Успехи математических наук, 74, pp. 183 - 184, http://dx.doi.org/10.4213/rm9902

Semenov EM; Sukochev FA; Usachev A, 2019, 'Основные классы инвариантных банаховых пределов', Известия Российской академии наук. Серия математическая, 83, pp. 140 - 167, http://dx.doi.org/10.4213/im8704

Scheckter TT; Sukochev F, 2018, 'Weak Type Estimates for the Noncommutative Vilenkin–Fourier Series', Integral Equations and Operator Theory, 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, 90, http://dx.doi.org/10.1007/s00020-018-2483-1

Ber A; Sukochev F; Zanin D, 2018, 'Heisenberg relation for locally measurable operators', Advances in Mathematics, 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, 19, pp. 1993 - 2019, http://dx.doi.org/10.1007/s00023-018-0675-5

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

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

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

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

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

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

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

Potapov D; Sukochev F, 2018, 'Arens Algebras and Matricial Spaces', Journal of Mathematics, Mechanics and Computer Science, 100, pp. 3 - 7, http://dx.doi.org/10.26577/jmmcs-2018-4-583

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

Dykema K; Sukochev F; Zanin D, 2017, 'An upper triangular decomposition theorem for some unbounded operators affiliated to II1-factors', Israel Journal of Mathematics, 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, 222, pp. 125 - 164, http://dx.doi.org/10.1007/s11856-017-1585-9

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


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