Edit Profile (opens in new tab) Sukochev, Fedor Anatol’evich Co-Author Distance Author ID: sukochev.fedor-a Published as: Sukochev, F. A.; Sukochev, Fedor; Sukochev, F.; Sukochev, Fedor A.; Sukochev, Fyodor A.; Sukochev, Fyodor; Sukochev, Pheodor A.; Sukochev, Fëdor Anatol’evich; Sukochev, Pheodor; Sykochev, F. A. more...less Further Spellings: Сукочев Федор Анатольевич Homepage: https://research.unsw.edu.au/people/professor-fedor-sukochev External Links: MGP · ORCID · Google Scholar · Math-Net.Ru · dblp Documents Indexed: 353 Publications since 1985, including 6 Books 1 Contribution as Editor Reviewing Activity: 55 Reviews Co-Authors: 111 Co-Authors with 336 Joint Publications 1,795 Co-Co-Authors all top 5 Co-Authors 17 single-authored 98 Zanin, Dmitriy V. 44 Potapov, Denis 35 Semënov, Evgeniĭ Mikhaĭlovich 32 Dodds, Peter G. 29 Carey, Alan L. 23 Ber, Aleksey Feliksovich 23 Huang, Jinghao 22 Chilin, Vladimir Ivanovich 21 Usachev, Aleksandr Sergeevich 20 Astashkin, Sergeĭ Vladimir 19 de Pagter, Bernardus 19 Levitina, Galina Borisovna 17 McDonald, Edward Andrew 13 Gesztesy, Fritz 13 Lord, Steven 12 Dodds, Theresa K. 12 Sedaev, Alexander A. 11 Rennie, Adam 9 Jiao, Yong 9 Phillips, John 8 Azamov, Nurulla A. 8 Pliev, Marat Amurkhanovich 7 Caspers, Martijn 7 Dykema, Kenneth J. 7 Skripka, Anna 7 Tomskova, Anna 6 Ferleger, Sergei V. 6 Kalton, Nigel John 6 Tulenov, Kanat Serikovich 5 Alekhno, Egor Aleksandrovich 5 Kudaĭbergenov, Karimbergen Kadirbergenovich 5 Le Merdy, Christian 5 Tomilov, Yuri 4 Coine, Clement 4 Gayral, Victor 4 Medzhitov, Arthur M. 4 Nichols, Roger 4 Xiong, Xiao 3 Bikchentaev, Aĭrat Midkhatovich 3 Connes, Alain 3 Junge, Marius 3 Scheckter, Thomas Tzvi 3 Veksler, Aleksandr S. 3 Witvliet, H. 3 Xie, Guangheng 3 Zhou, Dejian 2 Aleksandrov, Aleksei B. 2 Borst, Matthijs J. 2 Haagerup, Uffe Valentin 2 Kissin, Edward V. 2 Latushkin, Yuri 2 Peller, Vladimir Vsevolodovich 2 Rosenthal, Haskell P. 2 Sadovskaya, Olga 2 Sedaev, Aleksandr 2 Shul’man, Viktor Semënovich 2 Vella, Dominic 2 Wong, Chin Pin 2 Xu, Quanhua 1 Aubrun, Guillaume 1 Ayre, P. J. 1 Ayupov, Shavkat Abdullaevich 1 Benameur, Moulay-Tahar 1 Borst, Sander J 1 Britz, Thomas 1 Buskes, Gerard J. H. M. 1 Charlesworth, Ian 1 Clément, Philippe J. E. 1 Cowling, Michael G. 1 Dauitbek, Dostilek 1 de Jeu, Marcel 1 Dirksen, Sjoerd 1 Dowling, Patrick N. 1 Fan, Zhijie 1 Flint, Guy H. 1 Franchetti, Carlo 1 Frank, Rupert L. 1 Gomilko, Alexandre M. 1 Grosse, Harald 1 Hekkelman, E. 1 Kaad, Jens 1 Krygin, Andrei V. 1 Krygin, Andrej V. 1 Kuryakov, A. 1 Lennard, Christopher J. 1 Li, Ji 1 Lust-Piquard, Françoise 1 Lykov, Konstantin Vladimirovich 1 Makarov, Konstantin A. 1 Montgomery-Smith, Stephen J. 1 Nessipbayev, Yerlan 1 Noles, Joseph 1 Novikova, A. I. 1 Pełczyński, Aleksander 1 Pietsch, Albrecht 1 Rozendaal, Jan 1 Schep, Anton R. 1 Schlüchtermann, Georg 1 Sheremet’ev, V. E. 1 Tadjibaev, B. R. ...and 11 more Co-Authors all top 5 Serials 51 Journal of Functional Analysis 21 Advances in Mathematics 19 Integral Equations and Operator Theory 18 Studia Mathematica 15 Proceedings of the American Mathematical Society 12 Mathematical Notes 9 Israel Journal of Mathematics 9 Journal of Mathematical Analysis and Applications 9 Doklady Mathematics 8 Communications in Mathematical Physics 7 Positivity 6 Doklady Akademii Nauk UzSSR 6 Journal of Operator Theory 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Mathematical Proceedings of the Cambridge Philosophical Society 5 Canadian Journal of Mathematics 5 Functional Analysis and its Applications 5 Journal für die Reine und Angewandte Mathematik 5 Proceedings of the London Mathematical Society. Third Series 5 Transactions of the American Mathematical Society 5 Indagationes Mathematicae. New Series 4 Russian Mathematical Surveys 4 Izvestiya: Mathematics 3 Journal of Geometry and Physics 3 Izvestiya Akademii Nauk UzSSR. Seriya Fiziko-Matematicheskikh Nauk 3 Mathematische Annalen 3 Mathematica Scandinavica 3 Sbornik: Mathematics 3 De Gruyter Studies in Mathematics 3 Operators and Matrices 3 Journal of Spectral Theory 2 Journal d’Analyse Mathématique 2 Reviews in Mathematical Physics 2 Annales de l’Institut Fourier 2 Canadian Mathematical Bulletin 2 Illinois Journal of Mathematics 2 Journal of the London Mathematical Society. Second Series 2 Mathematische Zeitschrift 2 Memoirs of the American Mathematical Society 2 Pacific Journal of Mathematics 2 Soviet Mathematics. Doklady 2 Soviet Mathematics 2 Linear Algebra and its Applications 2 Russian Academy of Sciences. Doklady. Mathematics 2 St. Petersburg Mathematical Journal 2 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 2 Journal of Function Spaces and Applications 2 Journal of Noncommutative Geometry 1 Houston Journal of Mathematics 1 Letters in Mathematical Physics 1 Acta Mathematica 1 American Journal of Mathematics 1 The Annals of Probability 1 Archiv der Mathematik 1 The Australian Mathematical Society Gazette 1 Bulletin of the London Mathematical Society 1 Indiana University Mathematics Journal 1 Inventiones Mathematicae 1 Mathematische Nachrichten 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Quaestiones Mathematicae 1 Siberian Mathematical Journal 1 Ergodic Theory and Dynamical Systems 1 Extracta Mathematicae 1 Revista Matemática Iberoamericana 1 IMRN. International Mathematics Research Notices 1 The Journal of Geometric Analysis 1 Journal of the Australian Mathematical Society. Series A 1 Notices of the American Mathematical Society 1 Bulletin of the Polish Academy of Sciences, Mathematics 1 Russian Mathematics 1 Russian Journal of Mathematical Physics 1 Journal of Mathematical Sciences (New York) 1 Bulletin des Sciences Mathématiques 1 The Journal of Fourier Analysis and Applications 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Doklady Akademii Nauk Respubliki Uzbekistan. Matematika, Tekhnicheskie Nauki, Estestvoznanie 1 Revista Matemática Complutense 1 Annales Henri Poincaré 1 Mediterranean Journal of Mathematics 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Complex Analysis and Operator Theory 1 Mathematical Modelling of Natural Phenomena 1 Banach Journal of Mathematical Analysis 1 Commentationes Mathematicae 1 Pure and Applied Functional Analysis 1 Proceedings of the American Mathematical Society. Series B 1 Advances in Operator Theory 1 Trends in Mathematics 1 Memoirs of the European Mathematical Society all top 5 Fields 287 Functional analysis (46-XX) 181 Operator theory (47-XX) 48 Global analysis, analysis on manifolds (58-XX) 19 Probability theory and stochastic processes (60-XX) 15 Sequences, series, summability (40-XX) 10 Harmonic analysis on Euclidean spaces (42-XX) 8 \(K\)-theory (19-XX) 8 Partial differential equations (35-XX) 4 Measure and integration (28-XX) 4 Abstract harmonic analysis (43-XX) 4 Integral transforms, operational calculus (44-XX) 4 Quantum theory (81-XX) 3 Functions of a complex variable (30-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral equations (45-XX) 1 General topology (54-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 297 Publications have been cited 3,147 times in 929 Documents Cited by ▼ Year ▼ Singular traces. Theory and applications. Zbl 1275.47002Lord, Steven; Sukochev, Fedor; Zanin, Dmitriy 127 2013 Symmetric norms and spaces of operators. Zbl 1152.47014Kalton, N. J.; Sukochev, F. A. 116 2008 Schauder decompositions and multiplier theorems. Zbl 0955.46004Clément, P.; de Pagter, B.; Sukochev, F. A.; Witvliet, H. 101 2000 Weak convergence in non-commutative symmetric spaces. Zbl 0836.46057Chilin, V. I.; Sukochev, F. A. 60 1994 Operator-Lipschitz functions in Schatten-von Neumann classes. Zbl 1242.47013Potapov, Denis; Sukochev, Fedor 59 2011 Spectral flow and Dixmier traces. Zbl 1015.19003Carey, Alan; Phillips, John; Sukochev, Fyodor 55 2003 Operator integrals, spectral shift, and spectral flow. Zbl 1163.47008Azamov, N. A.; Carey, A. L.; Dodds, P. G.; Sukochev, F. A. 49 2009 Completeness of quasi-normed symmetric operator spaces. Zbl 1298.46051Sukochev, Fedor 44 2014 Sets of uniformly absolutely continuous norm in symmetric spaces of measurable operators. Zbl 1362.46063Dodds, P. G.; De Pagter, B.; Sukochev, F. 44 2016 The local index formula in semifinite von Neumann algebras. I: Spectral flow. Zbl 1118.46060Carey, Alan L.; Phillips, John; Rennie, Adam; Sukochev, Fyodor A. 43 2006 Double operator integrals. Zbl 1079.47502de Pagter, B.; Witvliet, H.; Sukochev, F. A. 39 2002 The Dixmier trace and asymptotics of zeta functions. Zbl 1128.46022Carey, Alan L.; Rennie, Adam; Sedaev, Aleksandr; Sukochev, Fyodor 38 2007 Spectral shift function of higher order. Zbl 1282.47012Potapov, Denis; Skripka, Anna; Sukochev, Fedor 36 2013 Characterizations of Kadec-Klee properties in symmetric spaces of measurable functions. Zbl 0862.46015Chilin, V. I.; Dodds, P. G.; Sedaev, A. A.; Sukochev, F. A. 35 1996 Symmetric functionals and singular traces. Zbl 0915.46021Dodds, P. G.; de Pagter, B.; Semenov, E. M.; Sukochev, F. A. 34 1998 Index theory for locally compact noncommutative geometries. Zbl 1314.46081Carey, A. L.; Gayral, V.; Rennie, A.; Sukochev, F. A. 34 2014 Symmetric spaces on semifinite von Neumann algebras. Zbl 0751.46039Sukochev, F. A.; Chilin, V. I. 33 1990 Rosenthal inequalities in noncommutative symmetric spaces. Zbl 1267.46076Dirksen, Sjoerd; de Pagter, Ben; Potapov, Denis; Sukochev, Fedor 32 2011 Singular symmetric functionals and Banach limits with additional invariance properties. Zbl 1075.46028Dodds, P. G.; de Pagter, B.; Sedaev, A. A.; Semenov, E. M.; Sukochev, F. A. 31 2003 Banach limits and traces on \(\mathcal{L}_{1, \infty}\). Zbl 1405.47007Semenov, Evgeniy; Sukochev, Fedor; Usachev, Alexandr; Zanin, Dmitriy 31 2015 Lipschitz continuity of the absolute value and Riesz projections in symmetric operator spaces. Zbl 0899.46052Dodds, P. G.; Dodds, T. K.; de Pagter, B.; Sukochev, F. A. 30 1997 Dixmier traces as singular symmetric functionals and applications to measurable operators. Zbl 1081.46042Lord, Steven; Sedaev, Aleksandr; Sukochev, Fyodor 30 2005 Dixmier traces and some applications in non-commutative geometry. Zbl 1151.46053Carey, A. L.; Sukochev, F. A. 30 2006 The Hochschild class of the Chern character for semifinite spectral triples. Zbl 1058.19002Carey, Alan L.; Phillips, John; Rennie, Adam; Sukochev, Fyodor A. 30 2004 The local index formula in semifinite von Neumann algebras. II: the even case. Zbl 1101.46045Carey, Alan L.; Phillips, John; Rennie, Adam; Sukochev, Fyodor A. 29 2006 Invariant Banach limits and applications. Zbl 1205.46012Semenov, Evgenii M.; Sukochev, Fedor A. 28 2010 Extreme points of convex fully symmetric sets of measurable operators. Zbl 0787.46051Chilin, Vladimir I.; Krygin, Andrei V.; Sukochev, Pheodor A. 27 1992 Operator smoothness in Schatten norms for functions of several variables: Lipschitz conditions, differentiability and unbounded derivations. Zbl 1258.47022Kissin, E.; Potapov, D.; Shulman, V.; Sukochev, F. 27 2012 Unbounded Fredholm modules and double operator integrals. Zbl 1189.46063Potapov, D.; Sukochev, F. 27 2009 Series of independent random variables in rearrangement invariant spaces: an operator approach. Zbl 1084.46020Astashkin, S. V.; Sukochev, F. A. 26 2005 On \(p\)-convexity and \(q\)-concavity in non-commutative symmetric spaces. Zbl 1298.46052Dodds, P. G.; Dodds, T. K.; Sukochev, F. A. 25 2014 Traces of compact operators and the noncommutative residue. Zbl 1272.46056Kalton, Nigel; Lord, Steven; Potapov, Denis; Sukochev, Fedor 25 2013 Differentiation of operator functions in non-commutative \(L_{p}\)-spaces. Zbl 1075.46054de Pagter, B.; Sukochev, F. A. 25 2004 Functions of normal operators under perturbations. Zbl 1220.47018Aleksandrov, A. B.; Peller, V. V.; Potapov, D. S.; Sukochev, F. A. 24 2011 The Banach–Saks property in rearrangement invariant spaces. Zbl 1057.46016Dodds, P. G.; Semenov, E. M.; Sukochev, F. A. 24 2004 Non-trivial derivations on commutative regular algebras. Zbl 1129.46056Ber, A. F.; Chilin, V. I.; Sukochev, F. A. 22 2006 An analytic approach to spectral flow in von Neumann algebras. Zbl 1119.58016Benameur, Moulay-Tahar; Carey, Alan L.; Phillips, John; Rennie, Adam; Sukochev, Fyodor A.; Wojciechowski, Krzysztof P. 22 2006 Fully symmetric functionals on a Marcinkiewicz space are Dixmier traces. Zbl 1216.47030Kalton, N. J.; Sedaev, A. A.; Sukochev, F. A. 21 2011 Cwikel estimates revisited. Zbl 1443.47023Levitina, Galina; Sukochev, Fedor; Zanin, Dmitriy 21 2020 Rearrangement-invariant functionals with applications to traces on symmetrically normed ideals. Zbl 1144.46054Kalton, Nigel; Sukochev, Fyodor 21 2008 Singular symmetric functionals. Zbl 1090.46020Dodds, P.; de Pagter, B.; Sedaev, A.; Semenov, E.; Sukochev, F. 20 2002 Non-isomorphism of \(L_ p\)-spaces associated with finite and infinite von Neumann algebras. Zbl 0865.46052Sukochev, F. A. 20 1996 A non-commutative Yosida-Hewitt theorem and convex sets of measurable operators closed locally in measure. Zbl 1123.46044Dodds, P. G.; Dodds, T. K.; Sukochev, F. A.; Tikhonov, O. Ye. 20 2005 Local uniform and uniform convexity of non-commutative symmetric spaces of measurable operators. Zbl 0767.46039Chilin, Vladimir I.; Krygin, Andrej V.; Sukochev, Fedor A. 19 1992 Integration on locally compact noncommutative spaces. Zbl 1251.46036Carey, A. L.; Gayral, V.; Rennie, A.; Sukochev, F. A. 19 2012 Derivations in algebras of operator-valued functions. Zbl 1247.47011Ber, A. F.; De Pagter, B.; Sukochev, F. A. 19 2011 The index formula and the spectral shift function for relatively trace class perturbations. Zbl 1220.47017Gesztesy, Fritz; Latushkin, Yuri; Makarov, Konstantin A.; Sukochev, Fedor; Tomilov, Yuri 19 2011 Banach-Saks properties in symmetric spaces of measurable operators. Zbl 1118.46056Dodds, P. G.; Dodds, T. K.; Sukochev, F. A. 19 2007 Cesaro mean convergence of martingale differences in rearrangement invariant spaces. Zbl 1160.46020Astashkin, Sergey V.; Kalton, Nigel; Sukochev, Fyodor A. 19 2008 Banach embedding properties of non-commutative \(L^p\)-spaces. Zbl 1045.46039Haagerup, U.; Rosenthal, H. P.; Sukochev, F. A. 19 2003 The Banach-Saks index. Zbl 1078.46010Semenov, E. M.; Sukochev, F. A. 19 2004 A uniform Kadec-Klee property for symmetric operator spaces. Zbl 0847.46033Dodds, P. G.; Dodds, T. K.; Dowling, P. N.; Lennard, C. J.; Sukochev, F. A. 18 1995 Weak type commutator and Lipschitz estimates: resolution of the Nazarov-Peller conjecture. Zbl 07069612Caspers, M.; Potapov, D.; Sukochev, F.; Zanin, D. 17 2019 \(\zeta \)-function and heat kernel formulae. Zbl 1235.46061Sukochev, Fedor; Zanin, Dmitriy 16 2011 Measures from Dixmier traces and zeta functions. Zbl 1242.46072Lord, Steven; Potapov, Denis; Sukochev, Fedor 16 2010 The Kadec-Klee property in symmetric spaces of measurable operators. Zbl 0871.46034Chilin, V. I.; Dodds, P. G.; Sukochev, F. A. 16 1997 Johnson-Schechtman inequalities for noncommutative martingales. Zbl 1368.46054Jiao, Yong; Sukochev, Fedor; Zanin, Dmitriy; Zhou, Dejian 16 2017 Connes integration formula for the noncommutative plane. Zbl 1396.46054Sukochev, F.; Zanin, D. 16 2018 The spectral shift function and spectral flow. Zbl 1129.58008Azamov, N. A.; Carey, A. L.; Sukochev, F. A. 16 2007 Weak compactness criteria in symmetric spaces of measurable operators. Zbl 1004.46038Dodds, P. G.; Sukochev, F. A.; Schlüchtermann, G. 16 2001 Lipschitz and commutator estimates in symmetric operator spaces. Zbl 1174.46031Potapov, Denis; Sukochev, Fyodor 15 2008 Generalized limits with additional invariance properties and their applications to noncommutative geometry. Zbl 1294.46056Sukochev, Fedor; Usachev, Alexandr; Zanin, Dmitriy 14 2013 Continuous derivations on algebras of locally measurable operators are inner. Zbl 1304.46064Ber, A. F.; Chilin, V. I.; Sukochev, F. A. 14 2014 Johnson-Schechtman and Khintchine inequalities in noncommutative probability theory. Zbl 1375.46046Jiao, Yong; Sukochev, Fedor; Zanin, Dmitriy 14 2016 Logarithmic submajorisation and order-preserving linear isometries. Zbl 1444.46009Huang, J.; Sukochev, F.; Zanin, D. 14 2020 Banach-Saks property in Marcinkiewicz spaces. Zbl 1126.46005Astashkin, S. V.; Sukochev, F. A. 14 2007 Independent functions and the geometry of Banach spaces. Zbl 1219.46025Astashkin, S. V.; Sukochev, F. A. 13 2010 Dixmier measurability in Marcinkiewicz spaces and applications. Zbl 1295.46055Sedaev, A. A.; Sukochev, F. A. 13 2013 Extreme points of the set of Banach limits. Zbl 1287.46014Semenov, E.; Sukochev, F. 13 2013 Continuity of derivations of algebras of locally measurable operators. Zbl 1304.46063Ber, A. F.; Chilin, V. I.; Sukochev, F. A. 13 2013 Isometries of non-commutative Lorentz spaces. Zbl 0646.46060Chilin, Vladimir I.; Medzhitov, Arthur M.; Sukochev, Pheodor A. 12 1989 Weak type estimates for the absolute value mapping. Zbl 1389.47063Caspers, M.; Potapov, D.; Sukochev, F.; Zanin, D. 12 2015 Geometric properties of the set of Banach limits. Zbl 1309.40003Semenov, E. M.; Sukochev, F. A.; Usachev, A. S. 12 2014 Traces on symmetrically normed operator ideals. Zbl 1275.47131Sukochev, Fedor; Zanin, Dmitriy 12 2013 On unbounded \(p\)-summable Fredholm modules. Zbl 0960.46039Carey, A. L.; Phillips, J.; Sukochev, F. A. 12 2000 Completeness of symmetric \(\varDelta \)-normed spaces of \(\tau \)-measurable operators. Zbl 1385.46046Huang, Jinghao; Levitina, Galina; Sukochev, Fedor 12 2017 A decomposition theorem in \(\mathrm{II}_{1}\)-factors. Zbl 1343.46056Dykema, Kenneth; Sukochev, Fedor; Zanin, Dmitriy 12 2015 A \(C^*\)-algebraic approach to the principal symbol. II. Zbl 1427.46048McDonald, Edward; Sukochev, Fedor; Zanin, Dmitriy 12 2019 The Banach–Saks \(p\)-property. Zbl 1083.46014Astashkin, S. V.; Semenov, E. M.; Sukochev, F. A. 12 2005 Multilinear Schur multipliers and Schatten properties of operator Taylor remainders. Zbl 06794787Potapov, Denis; Skripka, Anna; Sukochev, Fedor; Tomskova, Anna 12 2017 Double operator integrals and submajorization. Zbl 1214.46042Potapov, D.; Sukochev, F. 11 2010 Higher-order spectral shift for contractions. Zbl 1293.47012Potapov, Denis; Skripka, Anna; Sukochev, Fedor 11 2014 The optimal range of the Calderòn operator and its applications. Zbl 1437.46036Sukochev, F.; Tulenov, K.; Zanin, D. 11 2019 Rademacher averages on noncommutative symmetric spaces. Zbl 1247.46050Le Merdy, Christian; Sukochev, Fedor 11 2008 Submajorisation inequalities for convex and concave functions of sums of measurable operators. Zbl 1170.46055Dodds, Peter G.; Sukochev, Fyodor A. 11 2009 Quantum differentiability on quantum tori. Zbl 1446.46051McDonald, Edward; Sukochev, Fedor; Xiong, Xiao 11 2019 The property \((H)\) in Orlicz spaces. Zbl 0766.46010Medzhitov, Arthur; Sukochev, Pheodor 10 1992 Lidskii-type formulae for Dixmier traces. Zbl 1208.46062Sedaev, A. A.; Sukochev, F. A.; Zanin, D. V. 10 2010 Dixmier traces generated by exponentiation invariant generalised limits. Zbl 1303.46053Sukochev, Fedor; Usachev, Alexandr; Zanin, Dmitriy 10 2014 On the distinction between the classes of Dixmier and Connes-Dixmier traces. Zbl 1272.46057Sukochev, Fedor; Usachev, Alexandr; Zanin, Dmitriy 10 2013 \(\Phi\)-moment inequalities for independent and freely independent random variables. Zbl 1356.46052Jiao, Yong; Sukochev, Fedor; Xie, Guangheng; Zanin, Dmitriy 10 2016 Algebras of log-integrable functions and operators. Zbl 1373.46059Dykema, Ken; Sukochev, Fedor; Zanin, Dmitriy 10 2016 The Chern character of semifinite spectral triples. Zbl 1157.46045Carey, Alan L.; Phillips, John; Rennie, Adam; Sukochev, Fyodor A. 10 2008 The Krein spectral shift function in semifinite von Neumann algebras. Zbl 1105.46043Azamov, N. A.; Dodds, P. G.; Sukochev, F. A. 10 2006 Hölder inequality for symmetric operator spaces and trace property of K-cycles. Zbl 1380.47008Sukochev, F. 10 2016 On the Witten index in terms of spectral shift functions. Zbl 1481.47012Carey, Alan; Gesztesy, Fritz; Potapov, Denis; Sukochev, Fedor; Tomilov, Yuri 10 2017 Commutator estimates in \(W\)*-algebras. Zbl 1243.46056Ber, A. F.; Sukochev, F. A. 9 2012 Measure theory in noncommutative spaces. Zbl 1227.46042Lord, Steven; Sukochev, Fedor 9 2010 Orbits in symmetric spaces. Zbl 1182.46018Sukochev, F.; Zanin, D. 9 2009 Orlicz sequence spaces spanned by identically distributed independent random variables in \(L_p\)-spaces. Zbl 1325.46031Astashkin, S. V.; Sukochev, F. A. 9 2014 Asymptotics of singular values for quantum derivatives. Zbl 1516.46046Frank, Rupert L.; Sukochev, Fedor; Zanin, Dmitriy 2 2023 Quantum differentiability – the analytical perspective. (Quantum differntiability – the analytical perspective.) Zbl 07675035McDonald, E.; Sukochev, F.; Xiong, X. 1 2023 Optimal Cwikel-Solomyak estimates. Zbl 1514.35011Sukochev, Fedor; Zanin, Dmitriy 1 2023 Non-existence of translation-invariant derivations on algebras of measurable functions. Zbl 07707548Ber, Aleksey; Huang, Jinghao; Kudaybergenov, Karimbergen; Sukochev, Fedor 1 2023 The limiting absorption principle for massless Dirac operators, Properties of spectral shift functions, and an application to the Witten index of non-Fredholm operators. Zbl 07713957Carey, Alan; Gesztesy, Fritz; Levitina, Galina; Nichols, Roger; Sukochev, Fedor; Zanin, Dmitriy 1 2023 A noncommutative Gretsky-Ostroy theorem and its applications. Zbl 1515.46036Huang, Jinghao; Pliev, Marat; Sukochev, Fedor 1 2023 Distributional inequalities for noncommutative martingales. Zbl 1515.46038Jiao, Yong; Sukochev, Fedor; Wu, Lian; Zanin, Dmitriy 1 2023 Spectral estimates and asymptotics for stratified Lie groups. Zbl 07740615McDonald, E.; Sukochev, F.; Zanin, D. 1 2023 \(\ell_2\)-strictly singular operators on the predual of a hyperfinite von Neumann algebra. Zbl 1486.46069Huang, Jinghao; Pliev, Marat; Sukochev, Fedor 5 2022 A noncommutative Tauberian theorem and Weyl asymptotics in noncommutative geometry. Zbl 07583938McDonald, E.; Sukochev, F.; Zanin, D. 3 2022 Derivations of Murray-von Neumann algebras. Zbl 1506.46046Ber, Aleksey; Kudaybergenov, Karimbergen; Sukochev, Fedor 3 2022 The distribution of a random variable whose independent copies span \(\ell_M\) is unique. Zbl 1505.46027Astashkin, S.; Sukochev, F.; Zanin, D. 1 2022 On narrow operators from \(L_p\) into operator ideals. Zbl 1512.47059Huang, Jinghao; Pliev, Marat; Sukochev, Fedor 1 2022 Derivations with values in the ideal of \(\tau\)-compact operators affiliated with a semifinite von Neumann algebra. Zbl 1494.46067Ber, A.; Huang, J.; Levitina, G.; Sukochev, F. 1 2022 (Non-)Dunford-Pettis operators on noncommutative symmetric spaces. Zbl 1491.46059Huang, Jinghao; Pliev, Marat; Sukochev, Fedor 1 2022 On Arazy’s problem concerning isomorphic embeddings of ideals of compact operators. Zbl 07567801Huang, Jinghao; Sadovskaya, Olga; Sukochev, Fedor 1 2022 Lipschitz estimates in quasi-Banach Schatten ideals. Zbl 07570339McDonald, Edward; Sukochev, Fedor 1 2022 Solomyak-type eigenvalue estimates for the Birman-Schwinger operator. Zbl 07733599Sukochev, Fedor A.; Zanin, Dmitriy V. 1 2022 Optimal constants in non-commutative Hölder inequality for quasi-norms. Zbl 1477.46071Sukochev, F.; Zanin, D. 6 2021 Inequalities for the block projection operators. Zbl 1469.46056Bikchentaev, A.; Sukochev, F. 4 2021 The Kalton and Rosenthal type decomposition of operators in Köthe-Bochner spaces. Zbl 1496.47065Pliev, Marat; Sukochev, Fedor 4 2021 Lack of isomorphic embeddings of symmetric function spaces into operator ideals. Zbl 1467.46025Astashkin, S.; Huang, J.; Sukochev, F. 3 2021 When do triple operator integrals take value in the trace class? (Quand les intégrales triples d’opérateurs sont-elles à valeurs dans les opérateurs à trace ?) Zbl 07492542Coine, Clément; Le Merdy, Christian; Sukochev, Fedor 3 2021 Optimal pairs of symmetric spaces for the Calderón type operators. Zbl 1486.46038Lykov, Konstantin V.; Sukochev, Fedor A.; Tulenov, Kanat S.; Usachev, Alexandr S. 1 2021 Weak \((1,1)\) estimates for multiple operator integrals and generalized absolute value functions. Zbl 1507.47052Caspers, Martijn; Sukochev, Fedor; Zanin, Dmitriy 1 2021 Maximal inequalities of noncommutative martingale transforms. Zbl 1467.46062Jiao, Yong; Sukochev, Fedor; Zhou, Dejian 1 2021 The product formula for regularized Fredholm determinants. Zbl 07326419Britz, Thomas; Carey, Alan; Gesztesy, Fritz; Nichols, Roger; Sukochev, Fedor; Zanin, Dmitriy 1 2021 Isomorphic classification of \(L_{p,q}\)-spaces. II. Zbl 1473.46038Huang, Jinghao; Sukochev, Fedor 1 2021 Full proof of Kwapień’s theorem on representing bounded mean zero functions on \([0,1]\). Zbl 1472.46027Ber, Aleksei; Borst, Matthijs; Sukochev, Fedor 1 2021 Singular traces. Volume 1. Theory. 2nd corrected and expanded edition. Zbl 1495.47001Lord, Steven; Sukochev, Fedor; Zanin, Dmitriy 1 2021 Cwikel estimates revisited. Zbl 1443.47023Levitina, Galina; Sukochev, Fedor; Zanin, Dmitriy 21 2020 Logarithmic submajorisation and order-preserving linear isometries. Zbl 1444.46009Huang, J.; Sukochev, F.; Zanin, D. 14 2020 Quantum differentiability on noncommutative Euclidean spaces. Zbl 07258561McDonald, Edward; Sukochev, Fedor; Xiong, Xiao 8 2020 Logarithmic submajorization, uniform majorization and Hölder type inequalities for \(\tau \)-measurable operators. Zbl 1507.47089Dodds, P. G.; Dodds, T. K.; Sukochev, F. A.; Zanin, D. 8 2020 A last theorem of Kalton and finiteness of Connes’ integral. Zbl 1460.46068Lord, S.; Sukochev, F.; Zanin, D. 7 2020 Arithmetic-geometric mean and related submajorisation and norm inequalities for \(\tau\)-measurable operators. II. Zbl 1460.46055Dodds, P. G.; Dodds, T. K.; Sukochev, F. A.; Zanin, D. 7 2020 A Dixmier trace formula for the density of states. Zbl 1521.47117Azamov, N.; McDonald, E.; Sukochev, F.; Zanin, D. 6 2020 Geometry of Banach limits and their applications. Zbl 1464.46012Semenov, E. M.; Sukochev, F. A.; Usachev, A. S. 6 2020 Notes on derivations of Murray-von Neumann algebras. Zbl 1461.46056Ber, Aleksey; Kudaybergenov, Karimbergen; Sukochev, Fedor 5 2020 \(M\)-embedded symmetric operator spaces and the derivation problem. Zbl 1485.46069Huang, Jinghao; Levitina, Galina; Sukochev, Fedor 4 2020 Invariant Banach limits and applications to noncommutative geometry. Zbl 1455.46023Semenov, Evgenii; Sukochev, Fedor; Usachev, Alexandr; Zanin, Dmitriy 4 2020 Dilation invariant Banach limits. Zbl 1459.46026Semenov, E.; Sukochev, F.; Usachev, A.; Zanin, D. 4 2020 BMO-estimates for non-commutative vector valued Lipschitz functions. Zbl 1483.47077Caspers, M.; Junge, M.; Sukochev, F.; Zanin, D. 4 2020 Sums of independent and freely independent identically distributed random variables. Zbl 1471.60009Jiao, Yong; Sukochev, Fedor; Zanin, Dmitriy 3 2020 2-co-lacunary sequences in noncommutative symmetric Banach spaces. Zbl 1446.46043Sukochev, Fedor; Zhou, Dejian 2 2020 Extreme points of the set of elements majorised by an integrable function: resolution of a problem by Luxemburg and of its noncommutative counterpart. Zbl 1451.46052Dauitbek, D.; Huang, J.; Sukochev, F. 2 2020 Arithmetic-geometric mean and related submajorisation and norm inequalities for \(\tau\)-measurable operators. I. Zbl 1460.46054Dodds, P. G.; Dodds, T. K.; Sukochev, F. A.; Zanin, D. 2 2020 Ando’s inequality for uniform submajorization. Zbl 1518.47030Bikchentaev, Airat; McDonald, Edward; Sukochev, F. 2 2020 On subspaces spanned by freely independent random variables in noncommutative \(L_p\)-spaces. Zbl 1462.46072Jiao, Yong; Sukochev, Fedor; Zanin, Dmitriy 2 2020 Simultaneous upper triangular forms for commuting operators in a finite von Neumann algebra. Zbl 1520.47079Charlesworth, Ian; Dykema, Ken; Sukochev, Fedor; Zanin, Dmitriy 2 2020 The Grothendieck property in Marcinkiewicz spaces. Zbl 1451.46019de Pagter, B.; Sukochev, F. A. 1 2020 Weak type commutator and Lipschitz estimates: resolution of the Nazarov-Peller conjecture. Zbl 07069612Caspers, M.; Potapov, D.; Sukochev, F.; Zanin, D. 17 2019 A \(C^*\)-algebraic approach to the principal symbol. II. Zbl 1427.46048McDonald, Edward; Sukochev, Fedor; Zanin, Dmitriy 12 2019 The optimal range of the Calderòn operator and its applications. Zbl 1437.46036Sukochev, F.; Tulenov, K.; Zanin, D. 11 2019 Quantum differentiability on quantum tori. Zbl 1446.46051McDonald, Edward; Sukochev, Fedor; Xiong, Xiao 11 2019 Advances in Dixmier traces and applications. Zbl 1457.46064Lord, Steven; Sukochev, Fedor A.; Zanin, Dmitriy 8 2019 Conformal trace theorem for Julia sets of quadratic polynomials. Zbl 1425.37032Connes, A.; Mcdonald, E.; Sukochev, F.; Zanin, D. 8 2019 When weak and local measure convergence implies norm convergence. Zbl 1423.46086Bikchentaev, A.; Sukochev, F. 7 2019 Higher order \(\mathcal{S}^2\)-differentiability and application to Koplienko trace formula. Zbl 07040991Coine, Clément; Le Merdy, Christian; Skripka, Anna; Sukochev, Fedor 7 2019 Interpolation between \(L_0(\mathcal{M},\tau)\) and \(L_\infty (\mathcal{M},\tau )\). Zbl 1457.46065Huang, J.; Sukochev, F. 6 2019 Derivations on Murray-von Neumann algebras. Zbl 1450.46053Ber, A. F.; Kudaybergenov, K. K.; Sykochev, F. A. 4 2019 Sign of a perturbed massive Dirac operator and associated Fredholm module. Zbl 1414.35191Levitina, Galina; Sukochev, Fedor; Zanin, Dmitriy 3 2019 Noncommutative geometry for symmetric non-self-adjoint operators. Zbl 07063161Connes, Alain; Levitina, Galina; McDonald, Edward; Sukochev, Fedor; Zanin, Dmitriy 2 2019 The mean ergodic theorem in symmetric spaces. Zbl 1505.47016Sukochev, Fedor; Veksler, Aleksandr 2 2019 The main classes of invariant Banach limits. Zbl 1418.46008Semenov, E. M.; Sukochev, F. A.; Usachev, A. S. 1 2019 A residue formula for locally compact noncommutative manifolds. Zbl 1454.58008Potapov, Denis; Sukochev, Fedor; Vella, Dominic; Zanin, Dmitriy 1 2019 Connes integration formula for the noncommutative plane. Zbl 1396.46054Sukochev, F.; Zanin, D. 16 2018 On the global limiting absorption principle for massless Dirac operators. Zbl 1394.81115Carey, Alan; Gesztesy, Fritz; Kaad, Jens; Levitina, Galina; Nichols, Roger; Potapov, Denis; Sukochev, Fedor 8 2018 Invariant Banach limits and their extreme points. Zbl 1407.46017Alekhno, Egor; Semenov, Evgenii; Sukochev, Fedor; Usachev, Alexandr 7 2018 A \(C^*\)-algebraic approach to the principal symbol. I. Zbl 1424.46097Sukochev, F.; Zanin, D. 6 2018 Weak type operator Lipschitz and commutator estimates for commuting tuples. (Estimées de type faible pour les fonctions operateur-Lipschitz et les commutateurs de plusieurs variables.) Zbl 1507.47051Caspers, Martijn; Sukochev, Fedor; Zanin, Dmitriy 5 2018 Positive linear isometries in symmetric operator spaces. Zbl 1447.46014Sukochev, F.; Veksler, A. 4 2018 Isomorphic classification of \(L_{p,q}\)-spaces: the case \(p=2\), \(1\leq q< 2\). Zbl 1406.46021Sadovskaya, O.; Sukochev, F. 4 2018 Weak type estimates for the noncommutative Vilenkin-Fourier series. Zbl 1406.46052Scheckter, Thomas Tzvi; Sukochev, Fedor 3 2018 Schatten class estimates for the Riesz map of massless Dirac operators. Zbl 1392.35248Levitina, Galina; Sukochev, Fedor; Vella, Dominic; Zanin, Dmitriy 3 2018 Fuglede-Putnam theorem for locally measurable operators. Zbl 1431.46045Ber, A.; Chilin, V.; Sukochev, F.; Zanin, D. 2 2018 Heisenberg relation for locally measurable operators. Zbl 1409.46035Ber, A.; Sukochev, F.; Zanin, D. 1 2018 Johnson-Schechtman inequalities for noncommutative martingales. Zbl 1368.46054Jiao, Yong; Sukochev, Fedor; Zanin, Dmitriy; Zhou, Dejian 16 2017 Completeness of symmetric \(\varDelta \)-normed spaces of \(\tau \)-measurable operators. Zbl 1385.46046Huang, Jinghao; Levitina, Galina; Sukochev, Fedor 12 2017 Multilinear Schur multipliers and Schatten properties of operator Taylor remainders. Zbl 06794787Potapov, Denis; Skripka, Anna; Sukochev, Fedor; Tomskova, Anna 12 2017 On the Witten index in terms of spectral shift functions. Zbl 1481.47012Carey, Alan; Gesztesy, Fritz; Potapov, Denis; Sukochev, Fedor; Tomilov, Yuri 10 2017 Quantum differentiability of essentially bounded functions on Euclidean space. Zbl 1385.46054Lord, Steven; McDonald, Edward; Sukochev, Fedor; Zanin, Dmitry 9 2017 Embeddings of operator ideals into \(\mathcal{L}_p\)-spaces on finite von Neumann algebras. Zbl 1376.46050Junge, M.; Sukochev, F.; Zanin, D. 9 2017 Derivations with values in ideals of semifinite von Neumann algebras. Zbl 1372.46050Ber, A.; Huang, J.; Levitina, G.; Sukochev, F. 9 2017 Order and geometric properties of the set of Banach limits. Zbl 1373.46008Alekhno, E.; Semenov, E.; Sukochev, F.; Usachev, A. 7 2017 Trace theorem for quasi-Fuchsian groups. Zbl 1455.30035Connes, Alain; Sukochev, Fedor A.; Zanin, Dmitriy V. 6 2017 An upper triangular decomposition theorem for some unbounded operators affiliated to \(\mathrm{II}_{1}\)-factors. Zbl 1497.47056Dykema, Ken; Sukochev, Fedor; Zanin, Dmitriy 6 2017 Singular traces and residues of the \(\zeta\)-function. Zbl 1378.58009Usachev, Alexandr; Sukochev, Fedor; Zanin, Dmitriy 6 2017 Nehari-type theorem for non-commutative Hardy spaces. Zbl 1385.46048Sukochev, F.; Tulenov, K.; Zanin, D. 6 2017 On weak\(^*\) convergent sequences in duals of symmetric spaces of \(\tau\)-measurable operators. Zbl 1409.46012de Pagter, B.; Dodds, P. G.; Sukochev, F. A. 5 2017 Fubini theorem in noncommutative geometry. Zbl 1357.58009Sukochev, F.; Zanin, D. 2 2017 Banach limits: invariance and functional characteristics. Zbl 1384.46017Alekhno, E. A.; Semenov, E. M.; Sukochev, F. A.; Usachev, A. S. 2 2017 Mean ergodic theorem in symmetric spaces. (Théorème ergodique moyen dans les espaces symétriques.) Zbl 1367.47015Sukochev, Fedor; Veksler, Aleksandr 1 2017 Determinants associated to traces on operator bimodules. Zbl 1389.46080Dykema, K.; Sukochev, F.; Zanin, D. 1 2017 Sets of uniformly absolutely continuous norm in symmetric spaces of measurable operators. Zbl 1362.46063Dodds, P. G.; De Pagter, B.; Sukochev, F. 44 2016 Johnson-Schechtman and Khintchine inequalities in noncommutative probability theory. Zbl 1375.46046Jiao, Yong; Sukochev, Fedor; Zanin, Dmitriy 14 2016 \(\Phi\)-moment inequalities for independent and freely independent random variables. Zbl 1356.46052Jiao, Yong; Sukochev, Fedor; Xie, Guangheng; Zanin, Dmitriy 10 2016 Algebras of log-integrable functions and operators. Zbl 1373.46059Dykema, Ken; Sukochev, Fedor; Zanin, Dmitriy 10 2016 Hölder inequality for symmetric operator spaces and trace property of K-cycles. Zbl 1380.47008Sukochev, F. 10 2016 On the structure of invariant Banach limits. (Sur la structure des limites de Banach invariantes.) Zbl 1358.46018Alekhno, Egor; Semenov, Evgeniy; Sukochev, Fedor; Usachev, Alexandr 8 2016 ...and 197 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 652 Authors 225 Sukochev, Fedor Anatol’evich 78 Zanin, Dmitriy V. 40 Astashkin, Sergeĭ Vladimir 30 Carey, Alan L. 30 Potapov, Denis 29 Semënov, Evgeniĭ Mikhaĭlovich 28 Rennie, Adam 26 Usachev, Aleksandr Sergeevich 25 Bikchentaev, Aĭrat Midkhatovich 24 Chilin, Vladimir Ivanovich 24 Kudaĭbergenov, Karimbergen Kadirbergenovich 22 Huang, Jinghao 20 Ber, Aleksey Feliksovich 20 Dodds, Peter G. 20 Peller, Vladimir Vsevolodovich 20 Skripka, Anna 17 Shakhmurov, Veli B. 16 Ayupov, Shavkat Abdullaevich 16 de Pagter, Bernardus 16 Pietsch, Albrecht 16 Randrianantoanina, Narcisse 15 Jiao, Yong 15 Le Merdy, Christian 15 Levitina, Galina Borisovna 15 McDonald, Edward Andrew 15 Weis, Lutz W. 13 Aleksandrov, Aleksei B. 13 Junge, Marius 13 Wu, Lian 12 Han, Yazhou 12 Hudzik, Henryk 11 Dykema, Kenneth J. 11 Gesztesy, Fritz 10 Dodds, Theresa K. 10 Hytönen, Tuomas P. 10 Tulenov, Kanat Serikovich 10 van Neerven, Jan M. 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M. 10 Veraar, Mark C. 9 Pliev, Marat Amurkhanovich 8 Azamov, Nurulla A. 8 Caspers, Martijn 8 Ciesielski, Maciej 8 Foralewski, Paweł 8 Kaad, Jens 8 Kolwicz, Paweł 8 Lord, Steven 8 Phillips, John 8 Schulz-Baldes, Hermann 8 Sedaev, Alexander A. 8 Shao, Jingjing 8 Zhou, Dejian 7 Goffeng, Magnus 7 Ponge, Raphaël S. 7 Xu, Quanhua 6 Alekhno, Egor Aleksandrovich 6 Chattopadhyay, Arup 6 Coine, Clement 6 Connes, Alain 6 Cui, Yunan 6 Hong, Guixiang 6 Kalton, Nigel John 6 Litvinov, Semyon N. 6 Moslehian, Mohammad Sal 6 Nest, Ryszard 6 Tomskova, Anna 6 Yan, Cheng 5 Bourne, Chris 5 Czerwińska, Małgorzata Marta 5 Dauitbek, Dostilek 5 Gayral, Victor 5 Hernández Rodriguez, Francisco L. 5 Iochum, Bruno 5 Kunstmann, Peer Christian 5 Lizama, Carlos 5 Nazarov, Fedor L. 5 Oikhberg, Timur 5 Pushnitski, Alexander B. 5 Sadeghi, Ghadir 5 Sakbaev, Vsevolod Zhanovich 4 Albeverio, Sergio A. 4 Bekjan, Turdebek N. 4 Bu, Shangquan 4 Cadilhac, Léonard 4 Chen, Zeqian 4 De Nittis, Giuseppe 4 Guido, Daniele 4 Isola, Tommaso 4 Kaczmarek, Radosław 4 Kamińska, Anna 4 Lorist, Emiel 4 Mei, Tao 4 Mesland, Bram 4 Osękowski, Adam 4 Parcet, Javier 4 Portal, Pierre 4 Pradhan, Chandan 4 Prodan, Emil 4 Sitarz, Andrzej 4 Strakhov, Stepan Igorevich 4 Tradacete Pérez, Pedro ...and 552 more Authors all top 5 Cited in 187 Serials 109 Journal of Functional Analysis 52 Journal of Mathematical Analysis and Applications 44 Advances in Mathematics 41 Integral Equations and Operator Theory 36 Proceedings of the American Mathematical Society 33 Positivity 25 Communications in Mathematical Physics 25 Mathematical Notes 17 Studia Mathematica 16 Journal of Noncommutative Geometry 15 Israel Journal of Mathematics 13 Journal of Geometry and Physics 13 Mathematische Zeitschrift 13 Transactions of the American Mathematical Society 12 Siberian Mathematical Journal 11 Indagationes Mathematicae. 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