Select Publications

Journal articles

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

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

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

Ber A; Chilin V; Sukochev F, 2013, 'Continuity of derivations of algebras of locally measurable operators', Integral Equations and Operator Theory, 75, pp. 527 - 557, http://dx.doi.org/10.1007/s00020-013-2039-3

Astashkin SV; Sukochev F; Wong CP, 2013, 'Distributionally concave symmetric spaces and uniqueness of symmetric structure', Advances in Mathematics, 232, pp. 399 - 431, http://dx.doi.org/10.1016/j.aim.2012.08.013

Semenov E; Sukochev F, 2013, 'Extreme points of the set of Banach limits', Positivity, 17, pp. 163 - 170, http://dx.doi.org/10.1007/s11117-011-0155-3

Potapov D; Skripka A; Sukochev F, 2013, 'On Hilbert-Schmidt compatibility', Operators and Matrices, 7, pp. 1 - 33, http://dx.doi.org/10.7153/oam-07-01

Caspers ; Potapov D; Sukochev F, 2013, 'The Walsh basis in the Lp-spaces of hyperfinite IIIλ factors, 0', Journal of Mathematical Analysis and Applications, 408, pp. 154 - 164, http://dx.doi.org/10.1016/j.jmaa.2013.06.003

Kalton N; Lord S; Potapov D; Sukochev F, 2013, 'Traces of compact operators and the noncommutative residue', Advances in Mathematics, 235, pp. 1 - 55, http://dx.doi.org/10.1016/j.aim.2012.11.007

Ber A; Sukochev F, 2012, 'Commutator estimates in W *-algebras', Journal of Functional Analysis, 262, pp. 537 - 568, http://dx.doi.org/10.1016/j.jfa.2011.09.018

Ber A; Sukochev F, 2012, 'Commutator estimates in W*-factors', Transactions of the American Mathematical Society, 364, pp. 5571 - 5587, http://dx.doi.org/10.1090/S0002-9947-2012-05568-1

Ber AF; Chilin VI; Levitina GB; Sukochev FA, 2012, 'Derivations on symmetric quasi-Banach ideals of compact operators', Journal of Mathematical Analysis and Applications, 397, pp. 628 - 643, http://dx.doi.org/10.1016/j.jmaa.2012.07.068

Carey AL; Gayral V; Rennie A; Sukochev F, 2012, 'Integration on locally compact noncommutative spaces', Journal of Functional Analysis, 263, pp. 383 - 414, http://dx.doi.org/10.1016/j.jfa.2012.04.015

Sukochev F; Zanin DV, 2012, 'Johnson-Schectman inequalities in the free probability theory', Journal of Functional Analysis, 263, pp. 2921 - 2948, http://dx.doi.org/10.1016/j.jfa.2012.07.012

Potapov D; Sukochev F, 2012, 'Koplienko Spectral Shift Function on the Unit Circle', Communications in Mathematical Physics, 309, pp. 693 - 702, http://dx.doi.org/10.1007/s00220-011-1338-2

Sukochev F; Carey AL, 2012, 'Measurable operators and the asymptotics of heat kernels and zeta functions', Journal of Functional Analysis, 262, pp. 4582 - 4599, http://dx.doi.org/10.1016/j.jfa.2012.03.008

Gesztesy F; Gomilko A; Sukochev F; Tomilov Y, 2012, 'On a question of A. E. Nussbaum on measurability of families of closed linear operators in a Hilbert space', Israel Journal of Mathematics, 188, pp. 195 - 219, http://dx.doi.org/10.1007/s11856-011-0120-7

Sukochev F, 2012, 'On the A. M. Bikchentaev conjecture', Russian Mathematics, 56, pp. 57 - 59, http://dx.doi.org/10.3103/S1066369X12060084

Potapov D; Sukochev F; Xu Q, 2012, 'On the vector-valued Littlewood-Paley-Rubio de Francia inequality', Revista Matematica Iberoamericana, 28, pp. 839 - 856, http://dx.doi.org/10.4171/RMI/693

Sukochev F; Tomskova AA, 2012, 'Schur multipliers associated with symmetric sequence spaces', Mathematical Notes, 92, pp. 830 - 833, http://dx.doi.org/10.1134/S0001434612110284

Semenov EM; Sukochev FA; Usachev AS, 2011, 'Structure properties of the Banach limit set', Doklady Mathematics, 84, pp. 802 - 803, http://dx.doi.org/10.1134/S1064562411070155

Lord S; Sukochev FA, 2011, 'Noncommutative residues and a characterisation of the noncommutative integral', Proceedings of the American Mathematical Society, 139, pp. 243 - 243, http://dx.doi.org/10.1090/S0002-9939-2010-10472-0

Sukochev F; Zanin DV, 2011, 'ζ-function and heat kernel formulae', Journal of Functional Analysis, 260, pp. 2451 - 2482, http://dx.doi.org/10.1016/j.jfa.2010.10.007


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