By Scientia Professor Fedor Sukochev

Preprints

Potapov D; Sukochev F; Tomskova A; Zanin D, 2025, Fuglede theorem for symmetric spaces of $τ$-measurable operators, http://dx.doi.org/10.48550/arxiv.2512.14006

Liu S; McDonald E; Sukochev F; Zanin D, 2025, Uniformity of Maximal Hypoellipticity on Graded Lie Groups: From Pointwise to Global, http://dx.doi.org/10.48550/arxiv.2512.12646

Sukochev F; Yang F; Zanin D, 2025, Singular value asymptotics on compact smooth Riemaniann manifolds, http://dx.doi.org/10.48550/arxiv.2512.02365

Huang J; Kudaybergenov K; Sukochev F, 2025, Rank metric isometries and determinant-preserving mappings on II$_1$-factors, http://dx.doi.org/10.48550/arxiv.2506.11428

Sukochev F; Zhou D, 2025, Noncommutative sharp dual Doob inequalities, http://dx.doi.org/10.48550/arxiv.2501.07064

Ber A; Sukochev F; Zanin D; Zhao H, 2024, Kuroda's theorem for $n$-tuples in semifinite von Neumann algebras, http://dx.doi.org/10.48550/arxiv.2409.15852

Fan Z; Li J; Sukochev F; Zanin D, 2024, Spectral asymptotic formula of Bessel--Riesz commutator, http://dx.doi.org/10.48550/arxiv.2411.14928

Farrell D; Sukochev F; Yang F; Zanin D, 2024, A $C^{*}$-Algebraic Approach To Principal Symbol Calculus On Filtered Manifolds, http://dx.doi.org/10.48550/arxiv.2410.22125

Sukochev F; Yang F; Zanin D, 2024, Gagliardo-Nirenberg interpolation inequality for symmetric spaces on Noncommutative torus, http://dx.doi.org/10.48550/arxiv.2408.13094

Ber A; Sukochev F; Zanin D; Zhao H, 2024, Diagonality modulo symmetric spaces in semifinite von Neumann algebras, http://dx.doi.org/10.48550/arxiv.2404.00259

Frank RL; Sukochev F; Zanin D, 2024, Endpoint Schatten class properties of commutators, http://dx.doi.org/10.48550/arxiv.2405.10652

Huang J; Sadovskaya O; Sukochev F; Zanin D, 2024, Lack of isomorphic embeddings of $\ell_{p,q}$ into $L_{p,q}(\mathcal{M},τ)$ over a noncommutative probability space, http://dx.doi.org/10.48550/arxiv.2404.06761

Nessipbayev Y; Tulenov K, 2024, Weak compactness criteria in $L_1$ space in terms of Orlicz function, http://dx.doi.org/10.48550/arxiv.2004.12578

Kordyukov Y; Sukochev F; Zanin D, 2023, $C^{\ast}$-algebraic approach to the principal symbol. III, http://dx.doi.org/10.48550/arxiv.2309.04500

Ber A; Borst M; Sukochev F, 2023, Commutator estimates for normal operators in factors with applications to derivations, http://dx.doi.org/10.48550/arxiv.2304.10775

van Nuland TDH; Sukochev F; Zanin D, 2023, Local invariants of conformally deformed non-commutative tori II: multiple operator integrals, http://dx.doi.org/10.48550/arxiv.2303.04686

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

Sukochev F; Zanin D, 2022, Optimality of Cwikel-Solomyak estimates in Orlicz spaces, http://dx.doi.org/10.48550/arxiv.2208.05084

Fan Z; Li J; McDonald E; Sukochev F; Zanin D, 2022, Endpoint weak Schatten class estimates and trace formula for commutators of Riesz transforms with multipliers on Heisenberg groups, http://dx.doi.org/10.48550/arxiv.2201.12350

Carey A; Levitina G; Potapov D; Sukochev F, 2022, The Witten index and the spectral shift function, http://dx.doi.org/10.48550/arxiv.2101.06812

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/10.1016/j.geomphys.2022.104608

McDonald E; Sukochev F; Zanin D, 2022, Spectral estimates and asymptotics for stratified Lie groups, http://dx.doi.org/10.48550/arxiv.2201.12349

Huang J; Sukochev F; Zanin D, 2021, Operator $θ$-Hölder functions with respect to $\left\|\cdot\right\|_p$, $0< p\le \infty$, http://arxiv.org/abs/2110.09708v2

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

McDonald E; Sukochev F; Zanin D, 2021, Semiclassical Weyl law and exact spectral asymptotics in noncommutative geometry, http://dx.doi.org/10.48550/arxiv.2106.02235

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

Sukochev F; Zanin D, 2021, Connes Integration Formula without singular traces, http://dx.doi.org/10.48550/arxiv.2103.08817

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

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

Cadilhac L; Sukochev F; Zanin D, 2020, Lorentz-Shimogaki-Arazy-Cwikel Theorem Revisited, http://dx.doi.org/10.48550/arxiv.2009.02145

Huang J; Sukochev F, 2020, Isomorphic classification of $L_{p,q}$-spaces, II, http://dx.doi.org/10.1016/j.jfa.2021.108994

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

Astashkin S; Huang J; Sukochev F, 2020, Lack of isomorphic embeddings of symmetric function spaces into operator ideals, http://dx.doi.org/10.1016/j.jfa.2020.108895

Coine C; Merdy CL; Sukochev F, 2020, When do triple operator integrals take value in the trace class?, http://dx.doi.org/10.48550/arxiv.1706.01662

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

Huang J; Sukochev F, 2020, Alberti--Uhlmann problem on Hardy--Littlewood--Pólya majorization, http://arxiv.org/abs/2004.03197v2

Azamov N; McDonald E; Sukochev F; Zanin D, 2020, A Dixmier trace formula for the density of states, http://dx.doi.org/10.48550/arxiv.1910.12380

Caspers M; Junge M; Sukochev F; Zanin D, 2020, BMO-estimates for non-commutative vector valued Lipschitz functions, http://dx.doi.org/10.48550/arxiv.1903.10912

Ber A; Huang J; Kudaybergenov K; Sukochev F, 2020, Non-existence of translation-invariant derivations on algebras of measurable functions, http://arxiv.org/abs/2002.00590v1

de Pagter B; Sukochev FA, 2019, The Grothendieck property in Marcinkiewicz spaces, http://dx.doi.org/10.48550/arxiv.1912.01162

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: $Δ-$norms and quasi-Banach symmetric sequence spaces, http://dx.doi.org/10.48550/arxiv.1910.12482

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 $τ$-measurable operators, http://dx.doi.org/10.48550/arxiv.1910.10874

Sukochev F; Zanin D, 2019, Local invariants of non-commutative tori, http://dx.doi.org/10.48550/arxiv.1910.00758

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

McDonald E; Sukochev F; Xiong X, 2019, Quantum differentiability on noncommutative Euclidean spaces, http://dx.doi.org/10.48550/arxiv.1909.03581

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