Select Publications
Journal articles
, 2019, 'Noncommutative geometry for symmetric non-self-adjoint operators', Journal of Functional Analysis, 277, pp. 889 - 936, http://dx.doi.org/10.1016/j.jfa.2018.12.012
, 2019, 'WEAK TYPE COMMUTATOR AND LIPSCHITZ ESTIMATES: RESOLUTION OF THE NAZAROV-PELLER CONJECTURE', AMERICAN JOURNAL OF MATHEMATICS, 141, pp. 593 - 610, http://dx.doi.org/10.1353/ajm.2019.0019
, 2019, 'Sign of a perturbed massive Dirac operator and associated Fredholm module', Journal of Geometry and Physics, 136, pp. 244 - 267, http://dx.doi.org/10.1016/j.geomphys.2018.09.017
, 2019, 'A C ∗ -algebraic approach to the principal symbol II', Mathematische Annalen, http://dx.doi.org/10.1007/s00208-019-01822-7
, 2019, 'Dilation invariant Banach limits', Indagationes Mathematicae, http://dx.doi.org/10.1016/j.indag.2019.12.003
, 2019, 'FrÉchet differentiability of the norm of L
, 2018, 'Decomposability and Norm Convergence Properties in Finite von Neumann Algebras', Integral Equations and Operator Theory, 90, http://dx.doi.org/10.1007/s00020-018-2480-4
, 2018, 'Heisenberg relation for locally measurable operators', Advances in Mathematics, 335, pp. 211 - 230, http://dx.doi.org/10.1016/j.aim.2018.07.010
, 2018, 'Noncommutative dyadic martingales and Walsh–Fourier series', Journal of the London Mathematical Society, 97, pp. 550 - 574, http://dx.doi.org/10.1112/jlms.12121
, 2018, 'Connes Integration Formula for the Noncommutative Plane', Communications in Mathematical Physics, 359, pp. 449 - 466, http://dx.doi.org/10.1007/s00220-017-3008-5
, 2018, 'Schatten Class Estimates for the Riesz Map of Massless Dirac Operators', Integral Equations and Operator Theory, 90, http://dx.doi.org/10.1007/s00020-018-2445-7
, 2018, 'Ac*-Algebraicapproach Totheprincipalsymbol. I', Journal of Operator Theory, 80, pp. 481 - 522, http://dx.doi.org/10.7900/jot.2017nov02.2176
, 2018, 'Fuglede-putnam theorem for locally measurable operators', Proceedings of the American Mathematical Society, 146, pp. 1681 - 1692, http://dx.doi.org/10.1090/proc/13845
, 2018, 'Weak type operator Lipschitz and commutator estimates for commuting tuples', Annales de l'Institut Fourier, 68, pp. 1643 - 1669, http://dx.doi.org/10.5802/aif.3195
, 2017, 'An upper triangular decomposition theorem for some unbounded operators affiliated to II
, 2017, 'Quantum differentiability of essentially bounded functions on Euclidean space', Journal of Functional Analysis, 273, pp. 2353 - 2387, http://dx.doi.org/10.1016/j.jfa.2017.06.020
, 2017, 'Nehari-Type Theorem for Non-commutative Hardy Spaces', Journal of Geometric Analysis, 27, pp. 1789 - 1802, http://dx.doi.org/10.1007/s12220-016-9740-9
, 2017, 'Determinants associated to traces on operator bimodules', Journal of Operator Theory, 78, pp. 119 - 134, http://dx.doi.org/10.7900/jot.2016may31.2123
, 2017, 'Embeddings of operator ideals into L
, 2017, 'Fubini theorem in noncommutative geometry', Journal of Functional Analysis, 272, pp. 1230, http://dx.doi.org/10.1016/j.jfa.2016.10.016
, 2017, 'Johnson–Schechtman inequalities for noncommutative martingales', Journal of Functional Analysis, 272, pp. 976, http://dx.doi.org/10.1016/j.jfa.2016.11.002
, 2017, 'Singular traces and residues of the ζ-function', Indiana University Mathematics Journal, 66, pp. 1107 - 1144, http://dx.doi.org/10.1512/iumj.2017.66.6106
, 2017, 'Trace theorem for quasi-fuchsian groups', Sbornik Mathematics, 208, pp. 1473 - 1502, http://dx.doi.org/10.1070/SM8794
, 2017, 'Теорема о следах для квазифуксовых групп', Математический сборник, 208, pp. 59 - 90, http://dx.doi.org/10.4213/sm8794
, 2016, 'On reduction theory and Brown measure for closed unbounded operators', Journal of Functional Analysis, 271, pp. 3403 - 3422, http://dx.doi.org/10.1016/j.jfa.2016.09.015
, 2016, 'Algebras of Log-Integrable Functions and Operators', Complex Analysis and Operator Theory, 10, pp. 1775 - 1787, http://dx.doi.org/10.1007/s11785-016-0569-9
, 2016, 'Trace formulas for a class of non-Fredholm operators: A review', Reviews in Mathematical Physics, 28, http://dx.doi.org/10.1142/S0129055X16300028
, 2016, 'Catalysis in the trace class and weak trace class ideals', Proceedings of the American Mathematical Society, 144, pp. 2461 - 2471, http://dx.doi.org/10.1090/proc/12889
, 2016, 'On index theory for non-Fredholm operators: A (1 + 1)-dimensional example', Mathematische Nachrichten, 289, pp. 575 - 609, http://dx.doi.org/10.1002/mana.201500065
, 2016, 'Φ-moment inequalities for independent and freely independent random variables', Journal of Functional Analysis, http://dx.doi.org/10.1016/j.jfa.2016.02.001
, 2016, 'Johnson–Schechtman and Khintchine inequalities in noncommutative probability theory', Journal of the London Mathematical Society, 94, pp. 113 - 140, http://dx.doi.org/10.1112/jlms/jdw024
, 2016, 'Universal measurability and the Hochschild class of the Chern character', Journal of Spectral Theory, 6, pp. 1 - 41, http://dx.doi.org/10.4171/JST/116
, 2015, 'Banach limits and traces on L1,∞', Advances in Mathematics, 285, pp. 568 - 628, http://dx.doi.org/10.1016/j.aim.2015.08.010
, 2015, 'A decomposition theorem in II
, 2015, 'Singular traces and perturbation formulae of higher order', Journal of Functional Analysis, 269, pp. 1441 - 1481, http://dx.doi.org/10.1016/j.jfa.2015.04.019
, 2015, 'Holomorphic functional calculus on upper triangular forms in finite von Neumann algebras', Illinois Journal of Mathematics, 59, pp. 819 - 824, http://dx.doi.org/10.1215/ijm/1475266410
, 2015, 'On uniqueness of distribution of a random variable whose independent copies span a subspace in L
, 2015, 'Weak type estimates for the absolute value mapping', Journal of Operator Theory, 73, pp. 361 - 384, http://dx.doi.org/10.7900/jot.2013dec20.2021
, 2014, 'Dixmier traces are weak* dense in the set of all fully symmetric traces', Journal of Functional Analysis, 266, pp. 6158 - 6173, http://dx.doi.org/10.1016/j.jfa.2014.03.001
, 2014, 'Dixmier traces are weak* dense in the set of all fully symmetric traces', Journal of Functional Analysis, http://dx.doi.org/10.1016/j.jfa.2014.03.001
, 2014, 'Which traces are spectral?', Advances in Mathematics, 252, pp. 406 - 428, http://dx.doi.org/10.1016/j.aim.2013.10.028
, 2014, 'Completeness of quasi-normed operator ideals generated by s-numbers', Indagationes Mathematicae, 25, pp. 49 - 58, http://dx.doi.org/10.1016/j.indag.2013.07.005
, 2014, 'Disjointification inequalities in symmetric quasi-banach spaces and their applications', Pacific Journal of Mathematics, 270, pp. 257 - 285, http://dx.doi.org/10.2140/pjm.2014.270.257
, 2014, 'Dixmier traces generated by exponentiation invariant generalised limits', Journal of Noncommutative Geometry, 8, pp. 321 - 336, http://dx.doi.org/10.4171/JNCG/158
, 2014, 'Fréchet differentiability of the norm of L
, 2014, 'Krein's trace theorem revisited', Journal of Spectral Theory, 4, pp. 415 - 430, http://dx.doi.org/10.4171/JST/75
, 2013, 'Generalized limits with additional invariance properties and their applications to noncommutative geometry', Advances in Mathematics, 239, pp. 164 - 189, http://dx.doi.org/10.1016/j.aim.2013.02.012
, 2013, 'Traces on symmetrically normed operator ideals', Journal fur die Reine und Angewandte Mathematik, pp. 163 - 200, http://dx.doi.org/10.1515/crelle.2012.028
, 2013, 'On the distinction between the classes of Dixmier and Connes-Dixmier traces', Proceedings of the American Mathematical Society, 141, pp. 2169 - 2179, http://dx.doi.org/10.1090/S0002-9939-2012-11853-2
, 2012, 'Johnson-Schectman inequalities in the free probability theory', Journal of Functional Analysis, 263, pp. 2921 - 2948, http://dx.doi.org/10.1016/j.jfa.2012.07.012