By Scientia Professor Fedor Sukochev

Journal articles

Dodds PG; Sukochev FA, 1997, 'RUC-decompositions in symmetric operator spaces', Integral Equations and Operator Theory, 29, pp. 269 - 287, http://dx.doi.org/10.1007/BF01320701

Chilin VI; Dodds PG; Sukochev FA, 1997, 'The Kadec-Klee property in symmetric spaces of measurable operators', ISRAEL JOURNAL OF MATHEMATICS, 97, pp. 203 - 219, http://dx.doi.org/10.1007/BF02774037

Chilin VI; Dodds PG; Sedaev AA; Sukochev FA, 1996, 'Characterizations of kadec-klee properties in symmetric spaces of measurable functions', Transactions of the American Mathematical Society, 348, pp. 4895 - 4918, http://dx.doi.org/10.1090/s0002-9947-96-01782-5

Dodds PG; Sukochev FA, 1996, 'Contractibility of the Linear Group in Banach Spaces of Measurable Operators', Integral Equations and Operator Theory, 26, pp. 305 - 337, http://dx.doi.org/10.1007/BF01306545

Sukochev FA, 1996, 'Isometries of symmetric operator spaces associated with AFD factors of type II and symmetric vector-valued spaces', Integral Equations and Operator Theory, 26, pp. 102 - 124, http://dx.doi.org/10.1007/BF01229507

Ayupov SA; Ferleger SV; Sukochev FA, 1996, 'Isomorphism between the associative and non-associative LP-spaces of type II1 hyperfinite factors', Mathematica Scandinavica, 78, pp. 271 - 285, http://dx.doi.org/10.7146/math.scand.a-12589

Sukochev FA, 1996, 'Non-isomorphism of LP-spaces associated with finite and infinite von Neumann algebras', Proceedings of the American Mathematical Society, 124, pp. 1517 - 1527, http://dx.doi.org/10.1090/s0002-9939-96-03279-0

Ferleger SV; Sukochev FA, 1996, 'On the contractibility to a point of the linear groups of reflexive non-commutative L^p-spaces', Mathematical Proceedings of the Cambridge Philosophical Society, 119, pp. 545 - 560, http://dx.doi.org/10.1017/S0305004100074405

Dodds PG; Dodds TK; Dowling PN; Lennard CJ; Sukochev FA, 1995, 'A Uniform Kadec-Klee Property for Symmetric Operator Spaces', Mathematical Proceedings of the Cambridge Philosophical Society, 118, pp. 487 - 502, http://dx.doi.org/10.1017/S0305004100073813

Sukochev FA; Ferleger SV, 1995, 'Harmonic analysis in (UMD)-spaces: Applications to the theory of bases', Mathematical Notes, 58, pp. 1315 - 1326, http://dx.doi.org/10.1007/BF02304891

Sukochev FA, 1995, 'On the uniform kadec-klee property with respect to convergence in measure', Journal of the Australian Mathematical Society, 59, pp. 343 - 352, http://dx.doi.org/10.1017/S1446788700037241

Sukochev FA; Sheremetyev VE, 1995, 'The linear groups of injective factors and of matroid C*algebras are contractible to a point', MATHEMATICA SCANDINAVICA, 77, pp. 119 - 128, http://dx.doi.org/10.7146/math.scand.a-12553

SUKOCHEV FA; FERLEGER SV, 1994, 'HARMONIC-ANALYSIS IN SYMMETRICAL SPACES OF MEASURABLE OPERATORS', DOKLADY AKADEMII NAUK, 339, pp. 307 - 310, https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:A1994PX78000005&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=891bb5ab6ba270e68a29b250adbe88d1

Sukochev FA; Ferleger SV, 1994, 'The Matsaev theorem for symmetric spaces of measurable operators', Mathematical Notes, 56, pp. 1185 - 1189, http://dx.doi.org/10.1007/BF02274667

SEDAEV AA; SUKOCHEV FA, 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

Sukochev FA, 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

Sukochev FA, 1992, 'The property (MLUR) in symmetric (KB)-spaces', Mathematical Notes, 52, pp. 1280 - 1282, http://dx.doi.org/10.1007/BF01209383

KRYGIN AV; SUKOCHEV FA; CHILIN VI, 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

SUKOCHEV FA; CHILIN VI, 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

McDonald E; Sukochev F; Xiong X, 2023, 'Quantum differentiability – the analytical perspective', in Proceedings of Symposia in Pure Mathematics, pp. 257, http://dx.doi.org/10.1090/pspum/105/13

Carey A; Gesztesy F; Levitina G; Sukochev F, 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

Carey AL; Phillips J; Rennie A; Sukochev FA, 2013, 'The Local Index Formula in Noncommutative Geometry Revisited', in Noncommutative Geometry and Physics 3, WORLD SCIENTIFIC, 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

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 $L_{p,q}(\mathcal{M},\tau)$ over a noncommutative probability space, , http://dx.doi.org/10.48550/arxiv.2404.06761

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

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

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

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

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

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, 2021, Connes Integration Formula without singular traces, , http://dx.doi.org/10.48550/arxiv.2103.08817

Carey A; Levitina G; Potapov D; Sukochev F, 2021, The Witten index and the spectral shift function, , http://dx.doi.org/10.48550/arxiv.2101.06812

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

Nessipbayev Y; Tulenov K, 2020, Weak compactness criteria in $L_1$ space in terms of Orlicz function, , http://dx.doi.org/10.48550/arxiv.2004.12578

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

Ber A; Huang J; Kudaybergenov K; Sukochev F, 2020, Non-existence of translation-invariant derivations on algebras of measurable functions, , http://dx.doi.org/10.48550/arxiv.2002.00590

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

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

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