Select Publications

Preprints

Frank RL; Sukochev F; Zanin D, 2022, Asymptotics of singular values for quantum derivatives, http://dx.doi.org/10.48550/arxiv.2209.12559

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

Azamov N; Hekkelman E; McDonald E; Sukochev F; Zanin D, 2022, An Application of Singular Traces to Crystals and Percolation, http://dx.doi.org/10.48550/arxiv.2202.03676

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

Jiao Y; Sukochev F; Wu L; Zanin D, 2021, Distributional inequalities for noncommutative martingales, http://dx.doi.org/10.48550/arxiv.2103.08847

Sukochev F; Zanin D, 2020, Cwikel-Solomyak estimates on tori and Euclidean spaces, http://dx.doi.org/10.48550/arxiv.2008.04494

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

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

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

Semenov E; Sukochev F; Usachev A; Zanin D, 2019, Dilation invariant Banach limits, http://dx.doi.org/10.48550/arxiv.1910.10899

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

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

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

Semenov E; Sukochev F; Usachev A; Zanin D, 2016, Banach limits and traces on $\mathcal L_{1,\infty}$, http://dx.doi.org/10.48550/arxiv.1612.04509

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

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

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

Sukochev F; Usachev A; Zanin D, 2012, Dixmier traces generated by exponentiation invariant generalised limits, http://dx.doi.org/10.48550/arxiv.1210.3398

Sukochev F; Usachev A; Zanin D, 2012, On the distinction between the classes of Dixmier and Connes-Dixmier traces, http://dx.doi.org/10.48550/arxiv.1210.3397


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