By Scientia Professor Fedor Sukochev

Journal articles

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

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

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

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

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

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, 132, pp. 1 - 61, http://dx.doi.org/10.1007/s11854-017-0003-x

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

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

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

Jiao Y; Sukochev F; Zanin D; Zhou D, 2017, 'Johnson–Schechtman inequalities for noncommutative martingales', Journal of Functional Analysis, 272, pp. 976, http://dx.doi.org/10.1016/j.jfa.2016.11.002

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

Alekhno E; Semenov E; Sukochev F; Usachev A, 2017, 'Order and geometric properties of the set of banach limits', St. Petersburg Mathematical Journal, 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, 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, 208, pp. 1473 - 1502, http://dx.doi.org/10.1070/SM8794

Алехно Е; Семенов Е; Сукочев Ф; Усачев А, 2017, 'БАНАХОВЫ ПРЕДЕЛЫ: ИНВАРИАНТНОСТЬ И ФУНКЦИОНАЛЬНЫЕ ХАРАКТЕРИСТИКИ', Доклады Академии наук, pp. 7 - 7, http://dx.doi.org/10.7868/s086956521719001x

Connes A; Sukochev FA; Zanin DV, 2017, 'Теорема о следах для квазифуксовых групп', Математический сборник, 208, pp. 59 - 90, http://dx.doi.org/10.4213/sm8794

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

Dykema K; Sukochev F; Zanin D, 2016, 'Algebras of Log-Integrable Functions and Operators', Complex Analysis and Operator Theory, 10, pp. 1775 - 1787, http://dx.doi.org/10.1007/s11785-016-0569-9

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

Alekhno E; Semenov E; Sukochev F; Usachev A, 2016, 'On the structure of invariant Banach limits', Comptes Rendus Mathematique, 354, pp. 1195 - 1199, http://dx.doi.org/10.1016/j.crma.2016.10.007

Astashkin SV; Sukochev FA, 2016, 'Randomized Operators on n× n Matrices and Applications', Integral Equations and Operator Theory, 86, pp. 333 - 358, http://dx.doi.org/10.1007/s00020-016-2322-1

Carey A; Gesztesy F; Grosse H; Levitina G; Potapov D; Sukochev F; Zanin D, 2016, 'Trace formulas for a class of non-Fredholm operators: A review', Reviews in Mathematical Physics, 28, http://dx.doi.org/10.1142/S0129055X16300028

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

Sukochev F; Usachev A, 2016, 'Dixmier traces and non-commutative analysis', Journal of Geometry and Physics, 105, pp. 102 - 122, http://dx.doi.org/10.1016/j.geomphys.2016.03.010

Usachev A; Sukochev F, 2016, 'Characterization of singular traces on the weak trace class ideal generated by exponentiation invariant extended limits', Commentationes Mathematicae, 55, http://dx.doi.org/10.14708/cm.v55i2.1102

Aubrun G; Sukochev F; Zanin D, 2016, 'Catalysis in the trace class and weak trace class ideals', Proceedings of the American Mathematical Society, 144, pp. 2461 - 2471, http://dx.doi.org/10.1090/proc/12889

Dodds PG; De Pagter B; Sukochev F, 2016, 'Sets of uniformly absolutely continuous norm in symmetric spaces of measurable operators', Transactions of the American Mathematical Society, 368, pp. 4315 - 4355, http://dx.doi.org/10.1090/tran/6477

Carey A; Gesztesy F; Levitina G; Potapov D; Sukochev F; Zanin D, 2016, 'On index theory for non-Fredholm operators: A (1 + 1)-dimensional example', Mathematische Nachrichten, 289, pp. 575 - 609, http://dx.doi.org/10.1002/mana.201500065

Potapov D; Skripka A; Sukochev F, 2016, 'Functions of unitary operators: Derivatives and trace formulas', Journal of Functional Analysis, 270, pp. 2048 - 2072, http://dx.doi.org/10.1016/j.jfa.2016.01.001

Ayre PJ; Cowling MG; Sukochev FA, 2016, 'Operator Lipschitz estimates in the unitary setting', Proceedings of the American Mathematical Society, 144, pp. 1053 - 1057, http://dx.doi.org/10.1090/proc/12833

Jiao Y; Sukochev F; Xie G; Zanin D, 2016, 'Φ-moment inequalities for independent and freely independent random variables', Journal of Functional Analysis, http://dx.doi.org/10.1016/j.jfa.2016.02.001

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

Sukochev F, 2016, 'Hölder inequality for symmetric operator spaces and trace property of K-cycles', Bulletin of the London Mathematical Society, 48, pp. 637 - 647, http://dx.doi.org/10.1112/blms/bdw022

Jiao Y; Sukochev F; Zanin D, 2016, 'Johnson–Schechtman and Khintchine inequalities in noncommutative probability theory', Journal of the London Mathematical Society, 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, 232, pp. 57 - 92, http://dx.doi.org/10.4064/sm8499-3-2016

Carey AL; Rennie A; Sukochev F; Zanin D, 2016, 'Universal measurability and the Hochschild class of the Chern character', Journal of Spectral Theory, 6, pp. 1 - 41, http://dx.doi.org/10.4171/JST/116

Semenov E; Sukochev F; Usachev A; Zanin D, 2015, 'Banach limits and traces on L1,∞', Advances in Mathematics, 285, pp. 568 - 628, http://dx.doi.org/10.1016/j.aim.2015.08.010

Dykema K; Sukochev F; Zanin D, 2015, 'A decomposition theorem in II1-factors', Journal fur die Reine und Angewandte Mathematik, 2015, pp. 97 - 114, http://dx.doi.org/10.1515/crelle-2013-0084

Sedaev AA; Semenov EM; Sukochev FA, 2015, 'Fully symmetric function spaces without an equivalent Fatou norm', Positivity, 19, pp. 419 - 437, http://dx.doi.org/10.1007/s11117-014-0305-5

Potapov D; Sukochev F; Usachev A; Zanin D, 2015, 'Singular traces and perturbation formulae of higher order', Journal of Functional Analysis, 269, pp. 1441 - 1481, http://dx.doi.org/10.1016/j.jfa.2015.04.019

Carey AL; Gayral V; Phillips J; Rennie A; Sukochev FA, 2015, 'Spectral flow for nonunital spectral triples', Canadian Journal of Mathematics, 67, pp. 759 - 794, http://dx.doi.org/10.4153/CJM-2014-042-x

Potapov D; Skripka A; Sukochev F, 2015, 'Trace formulas for resolvent comparable operators', Advances in Mathematics, 272, pp. 630 - 651, http://dx.doi.org/10.1016/j.aim.2014.12.016

Potapov D; Sukochev F; Tomskova A, 2015, 'On the Arazy conjecture concerning Schur multipliers on Schatten ideals', Advances in Mathematics, 268, pp. 404 - 422, http://dx.doi.org/10.1016/j.aim.2014.09.021

Dykema K; Sukochev F; Zanin D, 2015, 'Holomorphic functional calculus on upper triangular forms in finite von Neumann algebras', Illinois Journal of Mathematics, 59, pp. 819 - 824, http://dx.doi.org/10.1215/ijm/1475266410

Astashkin S; Sukochev F; Zanin D, 2015, 'On uniqueness of distribution of a random variable whose independent copies span a subspace in Lp', Studia Mathematica, 230, pp. 41 - 57, http://dx.doi.org/10.4064/sm8089-1-2016

Alekhno EA; Semenov EM; Sukochev FA; Usachev AS, 2015, 'Order properties of the set of Banach limits', Doklady Mathematics, 91, pp. 20 - 22, http://dx.doi.org/10.1134/S1064562415010068

Caspers M; Potapov D; Sukochev F; Zanin D, 2015, 'Weak type estimates for the absolute value mapping', Journal of Operator Theory, 73, pp. 361 - 384, http://dx.doi.org/10.7900/jot.2013dec20.2021

Алехно ЕА; Семенов ЕМ; Сукочев ФА; Усачев АС, 2015, 'Порядковые свойства множества банаховых пределов', Доклады Академии наук, 460, pp. 131 - 132, http://dx.doi.org/10.7868/s0869565215020036

Caspers M; Montgomery-Smith S; Potapov D; Sukochev F, 2014, 'The best constants for operator Lipschitz functions on Schatten classes', Journal of Functional Analysis, 267, pp. 3557 - 3579, http://dx.doi.org/10.1016/j.jfa.2014.08.018

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