Select Publications
Journal articles
, 1994, 'The Matsaev theorem for symmetric spaces of measurable operators', Mathematical Notes, 56, pp. 1185 - 1189, http://dx.doi.org/10.1007/BF02274667
, 1994, 'KADEC-KLEE AND LOCAL UNIFORM CONVEXITY PROPERTIES IN THE INTERPOLATION SPACES OF K-METHOD', DOKLADY AKADEMII NAUK, 338, pp. 736 - 739, https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:A1994PR75500005&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=891bb5ab6ba270e68a29b250adbe88d1
, 1994, 'RUC-bases in E(L∞711-01711-01711-01 B(H)) and F(CE)', Mathematical Notes, 56, pp. 711 - 721, http://dx.doi.org/10.1007/BF02110562
, 1992, 'The property (MLUR) in symmetric (KB)-spaces', Mathematical Notes, 52, pp. 1280 - 1282, http://dx.doi.org/10.1007/BF01209383
, 1991, 'UNIFORM CONVEXITY AND LOCAL UNIFORM CONVEXITY OF SYMMETRICAL SPACES OF MEASURABLE OPERATORS', DOKLADY AKADEMII NAUK SSSR, 317, pp. 555 - 558, https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:A1991FR20400010&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=891bb5ab6ba270e68a29b250adbe88d1
, 1990, 'DEGREE CONVERGENCE IN CURRENT NONCOMMUTATIVE SYMMETRICAL SPACES', IZVESTIYA VYSSHIKH UCHEBNYKH ZAVEDENII MATEMATIKA, pp. 63 - 70, https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:A1990ET08400009&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=891bb5ab6ba270e68a29b250adbe88d1
Conference Papers
, 2023, 'Quantum differentiability – the analytical perspective', in Proceedings of Symposia in Pure Mathematics, pp. 257, http://dx.doi.org/10.1090/pspum/105/13
, 2016, 'The spectral shift function and the witten index', in Operator Theory Advances and Applications, pp. 71 - 105, http://dx.doi.org/10.1007/978-3-319-29992-1_5
, 2013, 'The Local Index Formula in Noncommutative Geometry Revisited', in Noncommutative Geometry and Physics 3, WORLD SCIENTIFIC, pp. 3 - 36, presented at Proceedings of the Noncommutative Geometry and Physics 2008, on K-Theory and D-Branes & Proceedings of the RIMS Thematic Year 2010 on Perspectives in Deformation Quantization and Noncommutative Geometry, http://dx.doi.org/10.1142/9789814425018_0001
Preprints
, 2024, Kuroda's theorem for $n$-tuples in semifinite von Neumann algebras, http://dx.doi.org/10.48550/arxiv.2409.15852
, 2024, Endpoint Schatten class properties of commutators, http://dx.doi.org/10.48550/arxiv.2405.10652
, 2024, Lack of isomorphic embeddings of $\ell_{p,q}$ into $L_{p,q}(\mathcal{M},\tau)$ over a noncommutative probability space, http://dx.doi.org/10.48550/arxiv.2404.06761
, 2024, Diagonality modulo symmetric spaces in semifinite von Neumann algebras, http://dx.doi.org/10.48550/arxiv.2404.00259
, 2023, $C^{\ast}$-algebraic approach to the principal symbol. III, http://dx.doi.org/10.48550/arxiv.2309.04500
, 2023, Commutator estimates for normal operators in factors with applications to derivations, http://dx.doi.org/10.48550/arxiv.2304.10775
, 2023, Local invariants of conformally deformed non-commutative tori II: multiple operator integrals, http://dx.doi.org/10.48550/arxiv.2303.04686
, 2022, Asymptotics of singular values for quantum derivatives, http://dx.doi.org/10.48550/arxiv.2209.12559
, 2022, Optimal range of Haar martingale transforms and its applications, http://arxiv.org/abs/2202.07154v1
, 2022, An Application of Singular Traces to Crystals and Percolation, http://dx.doi.org/10.1016/j.geomphys.2022.104608
, 2021, A multidimensional solution to additive homological equations, http://dx.doi.org/10.48550/arxiv.2107.11248
, 2021, The density of states depends on the domain, http://dx.doi.org/10.48550/arxiv.2107.09828
, 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
, 2021, Estimates for Schur Multipliers and Double Operator Integrals -- A Wavelet Approach, http://dx.doi.org/10.48550/arxiv.2104.06567
, 2021, Distributional inequalities for noncommutative martingales, http://dx.doi.org/10.48550/arxiv.2103.08847
, 2021, Connes Integration Formula without singular traces, http://dx.doi.org/10.48550/arxiv.2103.08817
, 2021, The Witten index and the spectral shift function, http://dx.doi.org/10.48550/arxiv.2101.06812
, 2020, Isomorphic classification of $L_{p,q}$-spaces, II, http://dx.doi.org/10.1016/j.jfa.2021.108994
, 2020, Cwikel-Solomyak estimates on tori and Euclidean spaces, http://dx.doi.org/10.48550/arxiv.2008.04494
, 2020, Lack of isomorphic embeddings of symmetric function spaces into operator ideals, http://dx.doi.org/10.1016/j.jfa.2020.108895
, 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
, 2020, Weak compactness criteria in $L_1$ space in terms of Orlicz function, http://dx.doi.org/10.48550/arxiv.2004.12578
, 2020, Alberti--Uhlmann problem on Hardy--Littlewood--Pólya majorization, http://arxiv.org/abs/2004.03197v2
, 2020, Weak $(1,1)$ estimates for multiple operator integrals and generalized absolute value functions, http://dx.doi.org/10.48550/arxiv.2004.02145
, 2020, Non-existence of translation-invariant derivations on algebras of measurable functions, http://arxiv.org/abs/2002.00590v1
, 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
, 2019, Rosenthal's inequalities: $\Delta-$norms and quasi-Banach symmetric sequence spaces, http://dx.doi.org/10.48550/arxiv.1910.12482
, 2019, A Dixmier trace formula for the density of states, http://dx.doi.org/10.48550/arxiv.1910.12380
, 2019, Dilation invariant Banach limits, http://dx.doi.org/10.48550/arxiv.1910.10899
, 2019, Logarithmic submajorization, uniform majorization and Hölder type inequalities for $\tau$-measurable operators, http://dx.doi.org/10.48550/arxiv.1910.10874
, 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
, 2019, Quantum differentiability on quantum tori, http://dx.doi.org/10.48550/arxiv.1909.03659
, 2019, Quantum differentiability on noncommutative Euclidean spaces, http://dx.doi.org/10.48550/arxiv.1909.03581
, 2019, The optimal range of the Calder\`{o}n operator and its applications, http://dx.doi.org/10.48550/arxiv.1908.09548
, 2019, Notes on derivations of Murray--von Neumann algebras, http://dx.doi.org/10.48550/arxiv.1906.00243
, 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://arxiv.org/abs/1904.06068v3
, 2019, BMO-estimates for non-commutative vector valued Lipschitz functions, http://dx.doi.org/10.48550/arxiv.1903.10912
, 2019, Interpolation between $L_0({\mathcal M},τ)$ and $L_\infty({\mathcal M},τ)$, http://dx.doi.org/10.1007/s00209-019-02259-z
, 2018, Logarithmic submajorisation and order-preserving linear isometries, http://arxiv.org/abs/1808.10557v3
, 2018, Noncommutative Geometry for Symmetric Non-Self-Adjoint Operators, http://dx.doi.org/10.48550/arxiv.1808.01772
, 2018, The Connes character formula for locally compact spectral triples, http://dx.doi.org/10.48550/arxiv.1803.01551