Select Publications

Preprints

Astashkin S; Huang J; Pliev M; Sukochev F; Zanin D, 2022, Optimal range of Haar martingale transforms and its applications, http://arxiv.org/abs/2202.07154v1

Ber AF; Borst MJ; Borst SJ; Sukochev FA, 2021, A multidimensional solution to additive homological equations, http://dx.doi.org/10.48550/arxiv.2107.11248

Azamov N; McDonald E; Zanin D; Sukochev F, 2021, The density of states depends on the domain, http://dx.doi.org/10.48550/arxiv.2107.09828

Carey A; Gesztesy F; Levitina G; Nichols R; Sukochev F; Zanin D, 2021, The limiting absorption principle for massless Dirac operators, properties of spectral shift functions, and an application to the Witten index of non-Fredholm operators, http://dx.doi.org/10.48550/arxiv.2105.03024

McDonald E; Scheckter TT; Sukochev F, 2021, Estimates for Schur Multipliers and Double Operator Integrals -- A Wavelet Approach, http://dx.doi.org/10.48550/arxiv.2104.06567

Carey A; Levitina G; Potapov D; Sukochev F, 2021, The Witten index and the spectral shift function, http://dx.doi.org/10.48550/arxiv.2101.06812

Sukochev F; Tulenov K; Zanin D, 2020, Corrigendum to the paper "The optimal range of the Calderon operator and its applications." [J. Funct. Anal. 277 (2019), no. 10, 3513--3559, arXiv:1908.09548], http://dx.doi.org/10.48550/arxiv.2004.13311

Nessipbayev Y; Sukochev F; Tulenov K, 2020, Weak compactness criteria in $L_1$ space in terms of Orlicz function, http://dx.doi.org/10.48550/arxiv.2004.12578

Caspers M; Sukochev F; Zanin D, 2020, Weak $(1,1)$ estimates for multiple operator integrals and generalized absolute value functions, http://dx.doi.org/10.48550/arxiv.2004.02145

Ber A; Huang J; Kudaybergenov K; Sukochev F, 2020, Non-existence of translation-invariant derivations on algebras of measurable functions, http://dx.doi.org/10.48550/arxiv.2002.00590

Ber AF; Borst MJ; Sukochev FA, 2019, Full proof of Kwapień's theorem on representing bounded mean zero functions on $[0,1]$, http://dx.doi.org/10.48550/arxiv.1911.13006

Jiao Y; Xie G; Sukochev F; Zanin D, 2019, Rosenthal's inequalities: $\Delta-$norms and quasi-Banach symmetric sequence spaces, http://dx.doi.org/10.48550/arxiv.1910.12482

Azamov N; McDonald E; Sukochev F; Zanin D, 2019, A Dixmier trace formula for the density of states, http://dx.doi.org/10.48550/arxiv.1910.12380

Dodds P; Dodds T; Sukochev F; Zanin D, 2019, Logarithmic submajorization, uniform majorization and Hölder type inequalities for $\tau$-measurable operators, http://dx.doi.org/10.48550/arxiv.1910.10874

Sukochev F; Tulenov K; Zanin D, 2019, The boundedness of the Hilbert transformation from one rearrangement invariant Banach space into another and applications, http://dx.doi.org/10.48550/arxiv.1909.10897

Sukochev F; Tulenov K; Zanin D, 2019, The optimal range of the Calder\`{o}n operator and its applications, http://dx.doi.org/10.48550/arxiv.1908.09548

Ber A; Kudaybergenov K; Sukochev F, 2019, Notes on derivations of Murray--von Neumann algebras, http://dx.doi.org/10.48550/arxiv.1906.00243

Dauitbek D; Huang J; Sukochev F, 2019, Extreme points of the set of elements majorised by an integrable function: Resolution of a problem by Luxemburg and of its noncommutative counterpart, http://dx.doi.org/10.48550/arxiv.1904.06068

Caspers M; Junge M; Sukochev F; Zanin D, 2019, BMO-estimates for non-commutative vector valued Lipschitz functions, http://dx.doi.org/10.48550/arxiv.1903.10912

Connes A; Levitina G; McDonald E; Sukochev F; Zanin D, 2018, Noncommutative Geometry for Symmetric Non-Self-Adjoint Operators, http://dx.doi.org/10.48550/arxiv.1808.01772

Coine C; Merdy CL; Skripka A; Sukochev F, 2017, Higher order $\Sc^2$-differentiability and application to Koplienko trace formula, http://dx.doi.org/10.48550/arxiv.1712.10289

Carey A; Gesztesy F; Kaad J; Levitina G; Nichols R; Potapov D; Sukochev F, 2017, On the Global Limiting Absorption Principle for Massless Dirac Operators, http://dx.doi.org/10.48550/arxiv.1711.01029

Coine C; Merdy CL; Sukochev F, 2017, When do triple operator integrals take value in the trace class?, http://dx.doi.org/10.48550/arxiv.1706.01662

Charlesworth I; Dykema K; Sukochev F; Zanin D, 2017, Simultaneous upper triangular forms for commuting operators in a finite von Neumann algebra, http://dx.doi.org/10.48550/arxiv.1703.05695

Levitina G; Sukochev F; Zanin D, 2017, Cwikel estimates revisited, http://dx.doi.org/10.48550/arxiv.1703.04254

Caspers M; Sukochev F; Zanin D, 2017, Weak type operator Lipschitz and commutator estimates for commuting tuples, http://dx.doi.org/10.48550/arxiv.1703.03089

Potapov D; Sukochev F; Usachev A; Zanin D, 2016, Singular traces and perturbation formulae of higher order, http://dx.doi.org/10.48550/arxiv.1612.04511

Jiao Y; Sukochev F; Zanin D; Zhou D, 2016, Johnson-Schechtman inequalities for noncommutative martingales, http://dx.doi.org/10.48550/arxiv.1612.04452

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, http://dx.doi.org/10.48550/arxiv.1610.04954

Jiao Y; Sukochev F; Xie G; Zanin D, 2016, $\Phi$-moment inequalities for independent and freely independent random variables, http://dx.doi.org/10.48550/arxiv.1608.07368

Jiao Y; Sukochev F; Zanin D, 2016, Johnson-Schechtman and Khinchine inequalities in noncommutative probability theory, http://dx.doi.org/10.48550/arxiv.1608.07367

Carey A; Gesztesy F; Levitina G; Nichols R; Potapov D; Sukochev F, 2015, Double operator integral methods applied to continuity of spectral shift functions, http://dx.doi.org/10.48550/arxiv.1511.07998

Dykema K; Sukochev F; Zanin D, 2015, Algebras of log-integrable functions and operators, http://dx.doi.org/10.48550/arxiv.1509.03360

Dykema K; Sukochev F; Zanin D, 2015, An upper triangular decomposition theorem for some unbounded operators affiliated to II_1-factors, http://dx.doi.org/10.48550/arxiv.1509.03358

Dykema K; Noles J; Sukochev F; Zanin D, 2015, On reduction theory and Brown measure for closed unbounded operators, http://dx.doi.org/10.48550/arxiv.1509.03362

Carey A; Gesztesy F; Levitina G; Potapov D; Sukochev F; Zanin D, 2015, On Index Theory for Non-Fredholm Operators: A $(1+1)$-Dimensional Example, http://dx.doi.org/10.48550/arxiv.1509.01356

Carey A; Gesztesy F; Levitina G; Sukochev F, 2015, On the Index of a Non-Fredholm Model Operator, http://dx.doi.org/10.48550/arxiv.1509.01580

Coine C; Merdy CL; Potapov D; Sukochev F; Tomskova A, 2015, Peller's problem concerning Koplienko-Neidhardt trace formulae: the unitary case, http://dx.doi.org/10.48550/arxiv.1509.00616

Aubrun G; Sukochev F; Zanin D, 2015, Catalysis in the trace class and weak trace class ideals, http://dx.doi.org/10.48550/arxiv.1506.05974

Caspers M; Potapov D; Sukochev F; Zanin D, 2015, Weak type commutator and Lipschitz estimates: resolution of the Nazarov-Peller conjecture, http://dx.doi.org/10.48550/arxiv.1506.00778

Carey A; Gesztesy F; Levitina G; Sukochev F, 2015, The Spectral shift function and the Witten index, http://dx.doi.org/10.48550/arxiv.1505.04895

Coine C; Merdy CL; Potapov D; Sukochev F; Tomskova A, 2015, Resolution of Peller's problem concerning Koplienko-Neidhardt trace formulae, http://dx.doi.org/10.48550/arxiv.1504.03843

Rozendaal J; Sukochev F; Tomskova A, 2015, Operator Lipschitz functions on Banach spaces, http://dx.doi.org/10.48550/arxiv.1501.03267

Astashkin S; Sukochev F; Zanin D, 2014, On uniqueness of distribution of a random variable whose independent copies span a subspace in L_p, http://dx.doi.org/10.48550/arxiv.1406.4950

Gesztesy F; Latushkin Y; Sukochev F; Tomilov Y, 2014, Some Operator Bounds Employing Complex Interpolation Revisited, http://dx.doi.org/10.48550/arxiv.1405.1517

Carey A; Gesztesy F; Potapov D; Sukochev F; Tomilov Y, 2014, A Jost-Pais-type reduction of Fredholm determinants and some applications, http://dx.doi.org/10.48550/arxiv.1404.0739

Carey A; Gesztesy F; Potapov D; Sukochev F; Tomilov Y, 2014, On the Witten index in terms of spectral shift functions, http://dx.doi.org/10.48550/arxiv.1404.0740

Carey A; Gayral V; Phillips J; Rennie A; Sukochev F, 2014, Spectral flow for nonunital spectral triples, http://dx.doi.org/10.48550/arxiv.1401.1354

Dykema K; Sukochev F; Zanin D, 2013, Holomorphic functional calculus on upper triangular forms in finite von Neumann algebras, http://dx.doi.org/10.48550/arxiv.1310.2524

Caspers M; Potapov D; Sukochev F; Zanin D, 2013, Weak type estimates for the absolute value mapping, http://dx.doi.org/10.48550/arxiv.1309.3378


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