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Preprints
, 2020, Non-existence of translation-invariant derivations on algebras of measurable functions, http://dx.doi.org/10.48550/arxiv.2002.00590
, 2019, The Grothendieck property in Marcinkiewicz spaces, http://dx.doi.org/10.48550/arxiv.1912.01162
, 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: $Δ-$norms and quasi-Banach symmetric sequence spaces, http://dx.doi.org/10.48550/arxiv.1910.12482
, 2019, Dilation invariant Banach limits, http://dx.doi.org/10.48550/arxiv.1910.10899
, 2019, Logarithmic submajorization, uniform majorization and Hölder type inequalities for $τ$-measurable operators, http://dx.doi.org/10.48550/arxiv.1910.10874
, 2019, Logarithmic submajorisation and order-preserving linear isometries, http://dx.doi.org/10.48550/arxiv.1808.10557
, 2019, Local invariants of non-commutative tori, http://dx.doi.org/10.48550/arxiv.1910.00758
, 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 noncommutative Euclidean spaces, http://dx.doi.org/10.48550/arxiv.1909.03581
, 2019, Quantum differentiability on quantum tori, http://dx.doi.org/10.48550/arxiv.1909.03659
, 2019, The optimal range of the Calderòn 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, Simultaneous upper triangular forms for commuting operators in a finite von Neumann algebra, http://dx.doi.org/10.48550/arxiv.1703.05695
, 2019, Interpolation between $L_0({\mathcal M},τ)$ and $L_\infty({\mathcal M},τ)$, http://dx.doi.org/10.48550/arxiv.1902.05907
, 2019, Noncommutative Geometry for Symmetric Non-Self-Adjoint Operators, http://dx.doi.org/10.48550/arxiv.1808.01772
, 2018, Higher order $\Sc^2$-differentiability and application to Koplienko trace formula, http://dx.doi.org/10.48550/arxiv.1712.10289
, 2018, A $C^*$-algebraic approach to the principal symbol II, http://dx.doi.org/10.48550/arxiv.1806.07015
, 2018, The Connes character formula for locally compact spectral triples, http://dx.doi.org/10.48550/arxiv.1803.01551
, 2017, On the Global Limiting Absorption Principle for Massless Dirac Operators, http://dx.doi.org/10.48550/arxiv.1711.01029
, 2017, Embeddings of operator ideals into $\mathcal{L}_p-$spaces on finite von Neumann algebras, http://dx.doi.org/10.48550/arxiv.1704.02423
, 2017, Trace theorem for quasi-Fuchsian groups, http://dx.doi.org/10.48550/arxiv.1703.05447
, 2017, Connes integration formula for the noncommutative plane, http://dx.doi.org/10.48550/arxiv.1703.04256
, 2017, Cwikel estimates revisited, http://dx.doi.org/10.48550/arxiv.1703.04254
, 2017, Weak type operator Lipschitz and commutator estimates for commuting tuples, http://dx.doi.org/10.48550/arxiv.1703.03089
, 2016, Banach limits and traces on $\mathcal L_{1,\infty}$, http://dx.doi.org/10.48550/arxiv.1612.04509
, 2016, Fuglede-Putnam theorem for locally measurable operators, http://dx.doi.org/10.48550/arxiv.1612.04492
, 2016, Johnson-Schechtman inequalities for noncommutative martingales, http://dx.doi.org/10.48550/arxiv.1612.04452
, 2016, Krein's trace theorem revisited, http://dx.doi.org/10.48550/arxiv.1701.00697
, 2016, Singular traces and perturbation formulae of higher order, http://dx.doi.org/10.48550/arxiv.1612.04511
, 2016, Fubini theorem in noncommutative geometry, http://dx.doi.org/10.48550/arxiv.1612.04012
, 2016, Trace Formulas for a Class of non-Fredholm Operators: A Review, http://dx.doi.org/10.48550/arxiv.1610.04954
, 2016, Determinants associated to traces on operator bimodules, http://dx.doi.org/10.48550/arxiv.1605.00349
, 2016, $Φ$-moment inequalities for independent and freely independent random variables, http://dx.doi.org/10.48550/arxiv.1608.07368
, 2016, Johnson-Schechtman and Khinchine inequalities in noncommutative probability theory, http://dx.doi.org/10.48550/arxiv.1608.07367
, 2016, Operator Lipschitz functions on Banach spaces, http://dx.doi.org/10.48550/arxiv.1501.03267
, 2016, Double operator integral methods applied to continuity of spectral shift functions, http://dx.doi.org/10.48550/arxiv.1511.07998
, 2015, Algebras of log-integrable functions and operators, http://dx.doi.org/10.48550/arxiv.1509.03360
, 2015, An upper triangular decomposition theorem for some unbounded operators affiliated to II_1-factors, http://dx.doi.org/10.48550/arxiv.1509.03358
, 2015, On reduction theory and Brown measure for closed unbounded operators, http://dx.doi.org/10.48550/arxiv.1509.03362
, 2015, On Index Theory for Non-Fredholm Operators: A $(1+1)$-Dimensional Example, http://dx.doi.org/10.48550/arxiv.1509.01356
, 2015, On the Index of a Non-Fredholm Model Operator, http://dx.doi.org/10.48550/arxiv.1509.01580
, 2015, Peller's problem concerning Koplienko-Neidhardt trace formulae: the unitary case, http://dx.doi.org/10.48550/arxiv.1509.00616
, 2015, Catalysis in the trace class and weak trace class ideals, http://dx.doi.org/10.48550/arxiv.1506.05974
, 2015, Weak type commutator and Lipschitz estimates: resolution of the Nazarov-Peller conjecture, http://dx.doi.org/10.48550/arxiv.1506.00778
, 2015, The Spectral shift function and the Witten index, http://dx.doi.org/10.48550/arxiv.1505.04895
, 2015, Resolution of Peller's problem concerning Koplienko-Neidhardt trace formulae, http://dx.doi.org/10.48550/arxiv.1504.03843
, 2015, The index formula and the spectral shift function for relatively trace class perturbations, http://dx.doi.org/10.48550/arxiv.1004.1582
, 2014, On the Witten index in terms of spectral shift functions, http://dx.doi.org/10.48550/arxiv.1404.0740
, 2014, The best constants for operator Lipschitz functions on Schatten classes, http://dx.doi.org/10.48550/arxiv.1209.3948