Select Publications

Journal articles

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

Potapov D; Sukochev F, 2014, 'Fréchet differentiability of Sp norms', Advances in Mathematics, 262, pp. 436 - 475, http://dx.doi.org/10.1016/j.aim.2014.05.011

Carey AL; Gayral V; Rennie A; Sukochev FA, 2014, 'Index theory for locally compact noncommutative geometries', Memoirs of the American Mathematical Society, 231, pp. 1 - 142, http://dx.doi.org/10.1090/memo/1085

Semenov EM; Sukochev FA, 2014, 'Sums and intersections of symmetric operator spaces', Journal of Mathematical Analysis and Applications, 414, pp. 742 - 755, http://dx.doi.org/10.1016/j.jmaa.2013.12.039

Gayral V; Sukochev F, 2014, 'Dixmier traces and extrapolation description of noncommutative Lorentz spaces', Journal of Functional Analysis, 266, pp. 6256 - 6317, http://dx.doi.org/10.1016/j.jfa.2014.02.036

Sukochev F; Zanin D, 2014, 'Dixmier traces are weak* dense in the set of all fully symmetric traces', Journal of Functional Analysis, 266, pp. 6158 - 6173, http://dx.doi.org/10.1016/j.jfa.2014.03.001

Astashkin SV; Sukochev FA, 2014, 'Orlicz sequence spaces spanned by identically distributed independent random variables in Lp-spaces', Journal of Mathematical Analysis and Applications, 413, pp. 1 - 19, http://dx.doi.org/10.1016/j.jmaa.2013.11.023

Sukochev F; Zanin D, 2014, 'Dixmier traces are weak* dense in the set of all fully symmetric traces', Journal of Functional Analysis, http://dx.doi.org/10.1016/j.jfa.2014.03.001

Gayral V; Sukochev F, 2014, 'Dixmier traces and extrapolation description of noncommutative Lorentz spaces', Journal of Functional Analysis, http://dx.doi.org/10.1016/j.jfa.2014.02.036

Sukochev F, 2014, 'Completeness of quasi-normed symmetric operator spaces', Indagationes Mathematicae, 25, pp. 376 - 388, http://dx.doi.org/10.1016/j.indag.2012.05.007

Sukochev F; Zanin D, 2014, 'Which traces are spectral?', Advances in Mathematics, 252, pp. 406 - 428, http://dx.doi.org/10.1016/j.aim.2013.10.028

Potapov D; Skripka A; Sukochev F, 2014, 'Higher-order spectral shift for contractions', Proceedings of the London Mathematical Society, 108, pp. 327 - 349, http://dx.doi.org/10.1112/plms/pdt024

Potapov D; Skripka A; Sukochev F, 2014, 'Functions of unitary operators: Derivatives and trace formulas', Journal of Functional Analysis, http://dx.doi.org/10.1016/j.jfa.2016.01.001

Levitina G; Pietsch A; Sukochev FA; Zanin D, 2014, 'Completeness of quasi-normed operator ideals generated by s-numbers', Indagationes Mathematicae, 25, pp. 49 - 58, http://dx.doi.org/10.1016/j.indag.2013.07.005

Carey A; Gesztesy F; Potapov D; Sukochev F; Tomilov Y, 2014, 'A Jost-Pais-Type Reduction of Fredholm Determinants and Some Applications', Integral Equations and Operator Theory, 79, pp. 389 - 447, http://dx.doi.org/10.1007/s00020-014-2150-0

Ber AF; Chilin VI; Sukochev FA, 2014, 'Continuous derivations on algebras of locally measurable operators are inner', Proceedings of the London Mathematical Society, 109, pp. 65 - 89, http://dx.doi.org/10.1112/plms/pdt070

Astashkin S; Sukochev FA; Zanin D, 2014, 'Disjointification inequalities in symmetric quasi-banach spaces and their applications', Pacific Journal of Mathematics, 270, pp. 257 - 285, http://dx.doi.org/10.2140/pjm.2014.270.257

Sukochev F; Usachev A; Zanin D, 2014, 'Dixmier traces generated by exponentiation invariant generalised limits', Journal of Noncommutative Geometry, 8, pp. 321 - 336, http://dx.doi.org/10.4171/JNCG/158

Potapov D; Sukochev F; Tomskova A; Zanin D, 2014, 'Fréchet differentiability of the norm of Lp-spaces associated with arbitrary von Neumann algebras', Comptes Rendus Mathematique, 352, pp. 923 - 927, http://dx.doi.org/10.1016/j.crma.2014.09.017

Semenov EM; Sukochev FA; Usachev AS, 2014, 'Geometric properties of the set of Banach limits', Izvestiya Mathematics, 78, pp. 596 - 620, http://dx.doi.org/10.1070/IM2014v078n03ABEH002700

Potapov D; Sukochev F; Zanin D, 2014, 'Krein's trace theorem revisited', Journal of Spectral Theory, 4, pp. 415 - 430, http://dx.doi.org/10.4171/JST/75

Dodds PG; Dodds TK; Sukochev FA, 2014, 'On p-Convexity and q-Concavity in Non-Commutative Symmetric Spaces', Integral Equations and Operator Theory, 78, pp. 91 - 114, http://dx.doi.org/10.1007/s00020-013-2082-0

Sedaev AA; Sukochev FA, 2013, 'Dixmier measurability in Marcinkiewicz spaces and applications', Journal of Functional Analysis, 265, pp. 3053 - 3066, http://dx.doi.org/10.1016/j.jfa.2013.08.014

Potapov D; Skripka A; Sukochev F, 2013, 'Spectral shift function of higher order', Inventiones Mathematicae, 193, pp. 501 - 538, http://dx.doi.org/10.1007/s00222-012-0431-2

Sukochev F; Tomskova A, 2013, '(E, F)-Schur multipliers and applications', Studia Mathematica, 216, pp. 111 - 129, http://dx.doi.org/10.4064/sm216-2-2

Sukochev F; Usachev A; Zanin D, 2013, 'Generalized limits with additional invariance properties and their applications to noncommutative geometry', Advances in Mathematics, 239, pp. 164 - 189, http://dx.doi.org/10.1016/j.aim.2013.02.012

Sukochev F; Zanin D, 2013, 'Traces on symmetrically normed operator ideals', Journal fur die Reine und Angewandte Mathematik, pp. 163 - 200, http://dx.doi.org/10.1515/crelle.2012.028

Sukochev F; Usachev A; Zanin D, 2013, 'On the distinction between the classes of Dixmier and Connes-Dixmier traces', Proceedings of the American Mathematical Society, 141, pp. 2169 - 2179, http://dx.doi.org/10.1090/S0002-9939-2012-11853-2

Ber AF; Sukochev FA, 2013, 'Commutator estimates in von Neumann algebras', Functional Analysis and its Applications, 47, pp. 62 - 63, http://dx.doi.org/10.1007/s10688-013-0007-y

Semenov EM; Sukochev FA, 2013, 'Function spaces with extremal properties', Doklady Mathematics, 87, pp. 175 - 177, http://dx.doi.org/10.1134/S1064562413020142

Flint GH; De Pagter B; Sukochev FA, 2013, 'The Dixmier approximation theorem in algebras of measurable operators', Proceedings of the American Mathematical Society, 141, pp. 909 - 918, http://dx.doi.org/10.1090/S0002-9939-2012-11479-0


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