Edit Profile Sukochev, Fedor Anatol’evich Compute Distance To: Compute Author ID: sukochev.fedor-a Published as: Sukochev, F.; Sukochev, F. A.; Sukochev, Fedor; Sukochev, Fedor A.; Sukochev, Fyodor; Sukochev, Fyodor A.; Sukochev, Fëdor Anatol’evich; Sukochev, Pheodor; Sukochev, Pheodor A.; Sykochev, F. A. Homepage: https://research.unsw.edu.au/people/professor-fedor-sukochev External Links: MGP · Math-Net.Ru · ORCID · dblp Documents Indexed: 301 Publications since 1985, including 4 Books Reviewing Activity: 55 Reviews all top 5 Co-Authors 17 single-authored 72 Zanin, Dmitriy V. 43 Potapov, Denis 33 Semënov, Evgeniĭ Mikhaĭlovich 32 Dodds, Peter G. 27 Carey, Alan L. 22 Chilin, Vladimir Ivanovich 19 Astashkin, Sergeĭ Vladimir 19 de Pagter, Bernardus 19 Usachev, Aleksandr Sergeevich 16 Ber, Aleksey Feliksovich 13 Levitina, Galina 12 Dodds, Theresa K. 12 Gesztesy, Fritz 12 Sedaev, Alexander A. 11 Lord, Steven 11 Rennie, Adam 9 Phillips, John 8 Mcdonald, Edward A. 8 Tomskova, Anna 7 Dykema, Kenneth J. 7 Huang, Jinghao 7 Jiao, Yong 7 Skripka, Anna 6 Azamov, Nurulla A. 6 Caspers, Martijn 6 Ferleger, Sergei V. 6 Kalton, Nigel John 5 Alekhno, Egor Aleksandrovich 5 Tomilov, Yuri 4 Gayral, Victor 4 Le Merdy, Christian 4 Medzhitov, Arthur M. 4 Tulenov, Kanat Serikovich 3 Bikchentaev, Aĭrat Midkhatovich 3 Coine, Clement 3 Connes, Alain 3 Junge, Marius 3 Krygin, Andrej V. 3 Nichols, Roger 3 Sedaev, Aleksandr 3 Veksler, Aleksandr 3 Witvliet, H. 3 Zhou, Dejian 2 Aleksandrov, Aleksei B. 2 Haagerup, Uffe Valentin 2 Kissin, Edward V. 2 Kudaybergenov, Karimbergen K. 2 Latushkin, Yuri 2 Peller, Vladimir Vsevolodovich 2 Rosenthal, Haskell P. 2 Scheckter, Thomas Tzvi 2 Shul’man, Viktor Semënovich 2 Vella, Dominic 2 Wong, Chin Pin 2 Xie, Guangheng 2 Xiong, Xiao 2 Xu, Quanhua 1 Aubrun, Guillaume 1 Ayre, P. J. 1 Ayupov, Shavkat Abdullaevich 1 Benameur, Moulay-Tahar 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 Flint, Guy H. 1 Franchetti, Carlo 1 Gomilko, Alexandre M. 1 Grosse, Harald 1 Kaad, Jens 1 Krygin, Andrei V. 1 Kuryakov, A. 1 Lennard, Christopher J. 1 Levitina, G. B. 1 Lust-Piquard, Françoise 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 Sadovskaya, Oxana V. 1 Schep, Anton R. 1 Schlüchtermann, Georg 1 Sheremet’ev, V. E. 1 Tadjibaev, B. R. 1 Tikhonov, O. Ye. 1 Tikhonov, Oleg Evgen’evich 1 Tomskova, A. A. 1 Van Ackooij, Wim 1 van Neerven, Jan M. A. M. 1 Veselova, Lidia V. 1 Wickstead, Anthony W. ...and 2 more Co-Authors all top 5 Serials 42 Journal of Functional Analysis 20 Advances in Mathematics 18 Integral Equations and Operator Theory 16 Studia Mathematica 12 Mathematical Notes 11 Proceedings of the American Mathematical Society 8 Israel Journal of Mathematics 8 Doklady Mathematics 7 Positivity 6 Communications in Mathematical Physics 6 Journal of Mathematical Analysis and Applications 6 Doklady Akademii Nauk UzSSR 6 Journal of Operator Theory 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Canadian Journal of Mathematics 5 Proceedings of the London Mathematical Society. Third Series 5 Indagationes Mathematicae. New Series 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 Russian Mathematical Surveys 4 Journal für die Reine und Angewandte Mathematik 4 Transactions of the American Mathematical Society 3 Functional Analysis and its Applications 3 Izvestiya Akademii Nauk UzSSR. Seriya Fiziko-Matematicheskikh Nauk 3 Mathematica Scandinavica 3 Izvestiya: Mathematics 3 Journal of Spectral Theory 2 Journal of Geometry and Physics 2 Canadian Mathematical Bulletin 2 Illinois Journal of Mathematics 2 Mathematische Annalen 2 Mathematische Zeitschrift 2 Memoirs of the American Mathematical Society 2 Pacific Journal of Mathematics 2 Soviet Mathematics. Doklady 2 Soviet Mathematics 2 Russian Academy of Sciences. Doklady. Mathematics 2 St. Petersburg Mathematical Journal 2 Sbornik: Mathematics 2 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 2 Journal of Function Spaces and Applications 2 Journal of Noncommutative Geometry 2 Operators and Matrices 1 Houston Journal of Mathematics 1 Journal d’Analyse Mathématique 1 Reviews in Mathematical Physics 1 Acta Mathematica 1 American Journal of Mathematics 1 Annales de l’Institut Fourier 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 Journal of the London Mathematical Society. Second Series 1 Mathematische Nachrichten 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Siberian Mathematical Journal 1 Ergodic Theory and Dynamical Systems 1 Extracta Mathematicae 1 Revista Matemática Iberoamericana 1 The Journal of Geometric Analysis 1 Journal of the Australian Mathematical Society. Series A 1 Linear Algebra and its Applications 1 Bulletin of the Polish Academy of Sciences, Mathematics 1 Russian Mathematics 1 Journal of Mathematical Sciences (New York) 1 Bulletin des Sciences Mathématiques 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Doklady Akademii Nauk Respubliki Uzbekistan. Matematika, Tekhnicheskie Nauki, Estestvoznanie 1 Annales Henri Poincaré 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 De Gruyter Studies in Mathematics 1 Complex Analysis and Operator Theory 1 Mathematical Modelling of Natural Phenomena 1 Banach Journal of Mathematical Analysis 1 Commentationes Mathematicae 1 Proceedings of the American Mathematical Society. Series B 1 Advances in Operator Theory 1 Trends in Mathematics all top 5 Fields 245 Functional analysis (46-XX) 146 Operator theory (47-XX) 42 Global analysis, analysis on manifolds (58-XX) 17 Probability theory and stochastic processes (60-XX) 12 Sequences, series, summability (40-XX) 7 \(K\)-theory (19-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 4 Partial differential equations (35-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 Measure and integration (28-XX) 2 Functions of a complex variable (30-XX) 2 Abstract harmonic analysis (43-XX) 2 Integral transforms, operational calculus (44-XX) 2 Quantum theory (81-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Commutative algebra (13-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) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 245 Publications have been cited 2,270 times in 695 Documents Cited by ▼ Year ▼ Schauder decompositions and multiplier theorems. Zbl 0955.46004Clément, P.; de Pagter, B.; Sukochev, F. A.; Witvliet, H. 88 2000 Symmetric norms and spaces of operators. Zbl 1152.47014Kalton, N. J.; Sukochev, F. A. 87 2008 Singular traces. Theory and applications. Zbl 1275.47002Lord, Steven; Sukochev, Fedor; Zanin, Dmitriy 80 2013 Weak convergence in non-commutative symmetric spaces. Zbl 0836.46057Chilin, V. I.; Sukochev, F. A. 51 1994 Spectral flow and Dixmier traces. Zbl 1015.19003Carey, Alan; Phillips, John; Sukochev, Fyodor 49 2003 Operator-Lipschitz functions in Schatten-von Neumann classes. Zbl 1242.47013Potapov, Denis; Sukochev, Fedor 47 2011 Operator integrals, spectral shift, and spectral flow. Zbl 1163.47008Azamov, N. A.; Carey, A. L.; Dodds, P. G.; Sukochev, F. A. 36 2009 The local index formula in semifinite von Neumann algebras. I: Spectral flow. Zbl 1118.46060Carey, Alan L.; Phillips, John; Rennie, Adam; Sukochev, Fyodor A. 36 2006 The Dixmier trace and asymptotics of zeta functions. Zbl 1128.46022Carey, Alan L.; Rennie, Adam; Sedaev, Aleksandr; Sukochev, Fyodor 35 2007 Completeness of quasi-normed symmetric operator spaces. Zbl 1298.46051Sukochev, Fedor 33 2014 Symmetric functionals and singular traces. Zbl 0915.46021Dodds, P. G.; de Pagter, B.; Semenov, E. M.; Sukochev, F. A. 32 1998 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. 32 1996 Symmetric spaces on semifinite von Neumann algebras. Zbl 0751.46039Sukochev, F. A.; Chilin, V. I. 32 1990 Dixmier traces and some applications in non-commutative geometry. Zbl 1151.46053Carey, A. L.; Sukochev, F. A. 30 2006 Dixmier traces as singular symmetric functionals and applications to measurable operators. Zbl 1081.46042Lord, Steven; Sedaev, Aleksandr; Sukochev, Fyodor 28 2005 The Hochschild class of the Chern character for semifinite spectral triples. Zbl 1058.19002Carey, Alan L.; Phillips, John; Rennie, Adam; Sukochev, Fyodor A. 28 2004 Double operator integrals. Zbl 1079.47502de Pagter, B.; Witvliet, H.; Sukochev, F. A. 28 2002 Index theory for locally compact noncommutative geometries. Zbl 1314.46081Carey, A. L.; Gayral, V.; Rennie, A.; Sukochev, F. A. 26 2014 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. 26 2006 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. 26 2003 Spectral shift function of higher order. Zbl 1282.47012Potapov, Denis; Skripka, Anna; Sukochev, Fedor 25 2013 Rosenthal inequalities in noncommutative symmetric spaces. Zbl 1267.46076Dirksen, Sjoerd; de Pagter, Ben; Potapov, Denis; Sukochev, Fedor 24 2011 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. 24 1997 Series of independent random variables in rearrangement invariant spaces: an operator approach. Zbl 1084.46020Astashkin, S. V.; Sukochev, F. A. 23 2005 Functions of normal operators under perturbations. Zbl 1220.47018Aleksandrov, A. B.; Peller, V. V.; Potapov, D. S.; Sukochev, F. A. 22 2011 Sets of uniformly absolutely continuous norm in symmetric spaces of measurable operators. Zbl 1362.46063Dodds, P. G.; De Pagter, B.; Sukochev, F. 21 2016 Extreme points of convex fully symmetric sets of measurable operators. Zbl 0787.46051Chilin, Vladimir I.; Krygin, Andrei V.; Sukochev, Pheodor A. 21 1992 Banach limits and traces on \(\mathcal{L}_{1, \infty}\). Zbl 1405.47007Semenov, Evgeniy; Sukochev, Fedor; Usachev, Alexandr; Zanin, Dmitriy 20 2015 Traces of compact operators and the noncommutative residue. Zbl 1272.46056Kalton, Nigel; Lord, Steven; Potapov, Denis; Sukochev, Fedor 20 2013 Unbounded Fredholm modules and double operator integrals. Zbl 1189.46063Potapov, D.; Sukochev, F. 20 2009 Rearrangement-invariant functionals with applications to traces on symmetrically normed ideals. Zbl 1144.46054Kalton, Nigel; Sukochev, Fyodor 20 2008 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. 20 2006 Singular symmetric functionals. Zbl 1090.46020Dodds, P.; de Pagter, B.; Sedaev, A.; Semenov, E.; Sukochev, F. 20 2002 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. 19 2012 Invariant Banach limits and applications. Zbl 1205.46012Semenov, Evgenii M.; Sukochev, Fedor A. 19 2010 The Banach–Saks property in rearrangement invariant spaces. Zbl 1057.46016Dodds, P. G.; Semenov, E. M.; Sukochev, F. A. 19 2004 On \(p\)-convexity and \(q\)-concavity in non-commutative symmetric spaces. Zbl 1298.46052Dodds, P. G.; Dodds, T. K.; Sukochev, F. A. 18 2014 Fully symmetric functionals on a Marcinkiewicz space are Dixmier traces. Zbl 1216.47030Kalton, N. J.; Sedaev, A. A.; Sukochev, F. A. 18 2011 Differentiation of operator functions in non-commutative \(L_{p}\)-spaces. Zbl 1075.46054de Pagter, B.; Sukochev, F. A. 18 2004 Integration on locally compact noncommutative spaces. Zbl 1251.46036Carey, A. L.; Gayral, V.; Rennie, A.; Sukochev, F. A. 17 2012 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. 17 1995 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. 16 2005 The Banach-Saks index. Zbl 1078.46010Semenov, E. M.; Sukochev, F. A. 16 2004 Derivations in algebras of operator-valued functions. Zbl 1247.47011Ber, A. F.; De Pagter, B.; Sukochev, F. A. 15 2011 Non-trivial derivations on commutative regular algebras. Zbl 1129.46056Ber, A. F.; Chilin, V. I.; Sukochev, F. A. 15 2006 The Kadec-Klee property in symmetric spaces of measurable operators. Zbl 0871.46034Chilin, V. I.; Dodds, P. G.; Sukochev, F. A. 15 1997 Non-isomorphism of \(L_ p\)-spaces associated with finite and infinite von Neumann algebras. Zbl 0865.46052Sukochev, F. A. 15 1996 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 14 2011 \(\zeta \)-function and heat kernel formulae. Zbl 1235.46061Sukochev, Fedor; Zanin, Dmitriy 14 2011 The spectral shift function and spectral flow. Zbl 1129.58008Azamov, N. A.; Carey, A. L.; Sukochev, F. A. 14 2007 Banach embedding properties of non-commutative \(L^p\)-spaces. Zbl 1045.46039Haagerup, U.; Rosenthal, H. P.; Sukochev, F. A. 14 2003 Local uniform and uniform convexity of non-commutative symmetric spaces of measurable operators. Zbl 0767.46039Chilin, Vladimir I.; Krygin, Andrej V.; Sukochev, Fedor A. 14 1992 Measures from Dixmier traces and zeta functions. Zbl 1242.46072Lord, Steven; Potapov, Denis; Sukochev, Fedor 13 2010 Banach-Saks properties in symmetric spaces of measurable operators. Zbl 1118.46056Dodds, P. G.; Dodds, T. K.; Sukochev, F. A. 13 2007 Independent functions and the geometry of Banach spaces. Zbl 1219.46025Astashkin, S. V.; Sukochev, F. A. 12 2010 Lipschitz and commutator estimates in symmetric operator spaces. Zbl 1174.46031Potapov, Denis; Sukochev, Fyodor 12 2008 Banach-Saks property in Marcinkiewicz spaces. Zbl 1126.46005Astashkin, S. V.; Sukochev, F. A. 12 2007 On unbounded \(p\)-summable Fredholm modules. Zbl 0960.46039Carey, A. L.; Phillips, J.; Sukochev, F. A. 12 2000 Dixmier measurability in Marcinkiewicz spaces and applications. Zbl 1295.46055Sedaev, A. A.; Sukochev, F. A. 11 2013 Cesaro mean convergence of martingale differences in rearrangement invariant spaces. Zbl 1160.46020Astashkin, Sergey V.; Kalton, Nigel; Sukochev, Fyodor A. 11 2008 Generalized limits with additional invariance properties and their applications to noncommutative geometry. Zbl 1294.46056Sukochev, Fedor; Usachev, Alexandr; Zanin, Dmitriy 10 2013 Traces on symmetrically normed operator ideals. Zbl 1275.47131Sukochev, Fedor; Zanin, Dmitriy 10 2013 Lidskii-type formulae for Dixmier traces. Zbl 1208.46062Sedaev, A. A.; Sukochev, F. A.; Zanin, D. V. 10 2010 Weak compactness criteria in symmetric spaces of measurable operators. Zbl 1004.46038Dodds, P. G.; Sukochev, F. A.; Schlüchtermann, G. 10 2001 Isometries of non-commutative Lorentz spaces. Zbl 0646.46060Chilin, Vladimir I.; Medzhitov, Arthur M.; Sukochev, Pheodor A. 10 1989 On the distinction between the classes of Dixmier and Connes-Dixmier traces. Zbl 1272.46057Sukochev, Fedor; Usachev, Alexandr; Zanin, Dmitriy 9 2013 Double operator integrals and submajorization. Zbl 1214.46042Potapov, D.; Sukochev, F. 9 2010 Spectral flow is the integral of one forms on the Banach manifold of self adjoint Fredholm operators. Zbl 1217.58016Carey, Alan; Potapov, Denis; Sukochev, Fedor 9 2009 Rademacher averages on noncommutative symmetric spaces. Zbl 1247.46050Le Merdy, Christian; Sukochev, Fedor 9 2008 The Chern character of semifinite spectral triples. Zbl 1157.46045Carey, Alan L.; Phillips, John; Rennie, Adam; Sukochev, Fyodor A. 9 2008 The Krein spectral shift function in semifinite von Neumann algebras. Zbl 1105.46043Azamov, N. A.; Dodds, P. G.; Sukochev, F. A. 9 2006 Connes integration formula for the noncommutative plane. Zbl 1396.46054Sukochev, F.; Zanin, D. 8 2018 On the Witten index in terms of spectral shift functions. Zbl 06790279Carey, Alan; Gesztesy, Fritz; Potapov, Denis; Sukochev, Fedor; Tomilov, Yuri 8 2017 Johnson-Schechtman inequalities for noncommutative martingales. Zbl 1368.46054Jiao, Yong; Sukochev, Fedor; Zanin, Dmitriy; Zhou, Dejian 8 2017 Johnson-Schechtman and Khintchine inequalities in noncommutative probability theory. Zbl 1375.46046Jiao, Yong; Sukochev, Fedor; Zanin, Dmitriy 8 2016 \(\Phi\)-moment inequalities for independent and freely independent random variables. Zbl 1356.46052Jiao, Yong; Sukochev, Fedor; Xie, Guangheng; Zanin, Dmitriy 8 2016 A decomposition theorem in \(\mathrm{II}_{1}\)-factors. Zbl 1343.46056Dykema, Kenneth; Sukochev, Fedor; Zanin, Dmitriy 8 2015 Dixmier traces generated by exponentiation invariant generalised limits. Zbl 1303.46053Sukochev, Fedor; Usachev, Alexandr; Zanin, Dmitriy 8 2014 Higher-order spectral shift for contractions. Zbl 1293.47012Potapov, Denis; Skripka, Anna; Sukochev, Fedor 8 2014 Continuity of derivations of algebras of locally measurable operators. Zbl 1304.46063Ber, A. F.; Chilin, V. I.; Sukochev, F. A. 8 2013 Measure theory in noncommutative spaces. Zbl 1227.46042Lord, Steven; Sukochev, Fedor 8 2010 The Banach–Saks \(p\)-property. Zbl 1083.46014Astashkin, S. V.; Semenov, E. M.; Sukochev, F. A. 8 2005 Comparison of sums of independent and disjoint functions in symmetric spaces. Zbl 1076.46020Astashkin, S. V.; Sukochev, F. A. 8 2004 Lipschitz continuity of the absolute value in preduals of semifinite factors. Zbl 0946.46051Dodds, P. G.; Dodds, T. K.; de Pagter, B.; Sukochev, F. A. 8 1999 The property \((H)\) in Orlicz spaces. Zbl 0766.46010Medzhitov, Arthur; Sukochev, Pheodor 8 1992 A triangle inequality for measurable operators with respect to the Hardy- Littlewood order. Zbl 0673.46044Sukochev, F. A.; Chilin, V. I. 8 1988 Multilinear Schur multipliers and Schatten properties of operator Taylor remainders. Zbl 06794787Potapov, Denis; Skripka, Anna; Sukochev, Fedor; Tomskova, Anna 7 2017 Fully symmetric function spaces without an equivalent Fatou norm. Zbl 1334.46025Sedaev, A. A.; Semenov, E. M.; Sukochev, F. A. 7 2015 Orlicz sequence spaces spanned by identically distributed independent random variables in \(L_p\)-spaces. Zbl 1325.46031Astashkin, S. V.; Sukochev, F. A. 7 2014 Continuous derivations on algebras of locally measurable operators are inner. Zbl 1304.46064Ber, A. F.; Chilin, V. I.; Sukochev, F. A. 7 2014 Completeness of quasi-normed operator ideals generated by \(s\)-numbers. Zbl 1301.47099Levitina, G.; Pietsch, A.; Sukochev, F. A.; Zanin, D. 7 2014 Geometric properties of the set of Banach limits. Zbl 1309.40003Semenov, E. M.; Sukochev, F. A.; Usachev, A. S. 7 2014 Extreme points of the set of Banach limits. Zbl 1287.46014Semenov, E.; Sukochev, F. 7 2013 Johnson-Schechtman inequalities in the free probability theory. Zbl 1264.46046Sukochev, F.; Zanin, D. 7 2012 Measurable operators and the asymptotics of heat kernels and zeta functions. Zbl 1270.46059Carey, Alan; Sukochev, Fedor 7 2012 Best constants in Rosenthal-type inequalities and the Kruglov operator. Zbl 1211.46008Astashkin, S. V.; Sukochev, F. A. 7 2010 Submajorisation inequalities for convex and concave functions of sums of measurable operators. Zbl 1170.46055Dodds, Peter G.; Sukochev, Fyodor A. 7 2009 Cwikel estimates revisited. Zbl 1443.47023Levitina, Galina; Sukochev, Fedor; Zanin, Dmitriy 6 2020 Conformal trace theorem for Julia sets of quadratic polynomials. Zbl 1425.37032Connes, A.; Mcdonald, E.; Sukochev, F.; Zanin, D. 6 2019 Weak type commutator and Lipschitz estimates: resolution of the Nazarov-Peller conjecture. Zbl 07069612Caspers, M.; Potapov, D.; Sukochev, F.; Zanin, D. 6 2019 Cwikel estimates revisited. Zbl 1443.47023Levitina, Galina; Sukochev, Fedor; Zanin, Dmitriy 6 2020 Logarithmic submajorisation and order-preserving linear isometries. Zbl 1444.46009Huang, J.; Sukochev, F.; Zanin, D. 5 2020 Dilation invariant Banach limits. Zbl 07243536Semenov, E.; Sukochev, F.; Usachev, A.; Zanin, D. 2 2020 Invariant Banach limits and applications to noncommutative geometry. Zbl 1455.46023Semenov, Evgenii; Sukochev, Fedor; Usachev, Alexandr; Zanin, Dmitriy 2 2020 Logarithmic submajorization, uniform majorization and Hölder type inequalities for \(\tau \)-measurable operators. Zbl 07243530Dodds, P. G.; Dodds, T. K.; Sukochev, F. A.; Zanin, D. 1 2020 Sums of independent and freely independent identically distributed random variables. Zbl 07178834Jiao, Yong; Sukochev, Fedor; Zanin, Dmitriy 1 2020 Conformal trace theorem for Julia sets of quadratic polynomials. Zbl 1425.37032Connes, A.; Mcdonald, E.; Sukochev, F.; Zanin, D. 6 2019 Weak type commutator and Lipschitz estimates: resolution of the Nazarov-Peller conjecture. Zbl 07069612Caspers, M.; Potapov, D.; Sukochev, F.; Zanin, D. 6 2019 Advances in Dixmier traces and applications. Zbl 07217279Lord, Steven; Sukochev, Fedor A.; Zanin, Dmitriy 4 2019 The optimal range of the Calderòn operator and its applications. Zbl 1437.46036Sukochev, F.; Tulenov, K.; Zanin, D. 4 2019 A \(C^*\)-algebraic approach to the principal symbol. II. Zbl 1427.46048McDonald, Edward; Sukochev, Fedor; Zanin, Dmitriy 4 2019 Quantum differentiability on quantum tori. Zbl 1446.46051McDonald, Edward; Sukochev, Fedor; Xiong, Xiao 3 2019 Interpolation between \(L_0(\mathcal{M},\tau)\) and \(L_\infty (\mathcal{M},\tau )\). Zbl 07126340Huang, J.; Sukochev, F. 3 2019 When weak and local measure convergence implies norm convergence. Zbl 1423.46086Bikchentaev, A.; Sukochev, F. 3 2019 Noncommutative geometry for symmetric non-self-adjoint operators. Zbl 07063161Connes, Alain; Levitina, Galina; McDonald, Edward; Sukochev, Fedor; Zanin, Dmitriy 2 2019 Sign of a perturbed massive Dirac operator and associated Fredholm module. Zbl 1414.35191Levitina, Galina; Sukochev, Fedor; Zanin, Dmitriy 2 2019 A residue formula for locally compact noncommutative manifolds. Zbl 1454.58008Potapov, Denis; Sukochev, Fedor; Vella, Dominic; Zanin, Dmitriy 1 2019 Derivations on Murray-von Neumann algebras. Zbl 1450.46053Ber, A. F.; Kudaybergenov, K. K.; Sykochev, F. A. 1 2019 Higher order \(\mathcal{S}^2\)-differentiability and application to Koplienko trace formula. Zbl 07040991Coine, Clément; Le Merdy, Christian; Skripka, Anna; Sukochev, Fedor 1 2019 The main classes of invariant Banach limits. Zbl 1418.46008Semenov, E. M.; Sukochev, F. A.; Usachev, A. S. 1 2019 Connes integration formula for the noncommutative plane. Zbl 1396.46054Sukochev, F.; Zanin, D. 8 2018 Invariant Banach limits and their extreme points. Zbl 1407.46017Alekhno, Egor; Semenov, Evgenii; Sukochev, Fedor; Usachev, Alexandr 5 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 4 2018 Positive linear isometries in symmetric operator spaces. Zbl 1447.46014Sukochev, F.; Veksler, A. 3 2018 A \(C^*\)-algebraic approach to the principal symbol. I. Zbl 1424.46097Sukochev, F.; Zanin, D. 2 2018 Isomorphic classification of \(L_{p,q}\)-spaces: the case \(p=2\), \(1\leq q< 2\). Zbl 1406.46021Sadovskaya, O.; Sukochev, F. 2 2018 Weak type operator Lipschitz and commutator estimates for commuting tuples. Zbl 07002304Caspers, Martijn; Sukochev, Fedor; Zanin, Dmitriy 1 2018 Weak type estimates for the noncommutative Vilenkin-Fourier series. Zbl 1406.46052Scheckter, Thomas Tzvi; Sukochev, Fedor 1 2018 Heisenberg relation for locally measurable operators. Zbl 1409.46035Ber, A.; Sukochev, F.; Zanin, D. 1 2018 Schatten class estimates for the Riesz map of massless Dirac operators. Zbl 1392.35248Levitina, Galina; Sukochev, Fedor; Vella, Dominic; Zanin, Dmitriy 1 2018 Fuglede-Putnam theorem for locally measurable operators. Zbl 1431.46045Ber, A.; Chilin, V.; Sukochev, F.; Zanin, D. 1 2018 On the Witten index in terms of spectral shift functions. Zbl 06790279Carey, Alan; Gesztesy, Fritz; Potapov, Denis; Sukochev, Fedor; Tomilov, Yuri 8 2017 Johnson-Schechtman inequalities for noncommutative martingales. Zbl 1368.46054Jiao, Yong; Sukochev, Fedor; Zanin, Dmitriy; Zhou, Dejian 8 2017 Multilinear Schur multipliers and Schatten properties of operator Taylor remainders. Zbl 06794787Potapov, Denis; Skripka, Anna; Sukochev, Fedor; Tomskova, Anna 7 2017 Completeness of symmetric \(\varDelta \)-normed spaces of \(\tau \)-measurable operators. Zbl 1385.46046Huang, Jinghao; Levitina, Galina; Sukochev, Fedor 6 2017 Trace theorem for quasi-Fuchsian groups. Zbl 1455.30035Connes, Alain; Sukochev, Fedor A.; Zanin, Dmitriy V. 5 2017 An upper triangular decomposition theorem for some unbounded operators affiliated to \(\mathrm{II}_{1}\)-factors. Zbl 06821077Dykema, Ken; Sukochev, Fedor; Zanin, Dmitriy 5 2017 Quantum differentiability of essentially bounded functions on Euclidean space. Zbl 1385.46054Lord, Steven; McDonald, Edward; Sukochev, Fedor; Zanin, Dmitry 5 2017 Embeddings of operator ideals into \(\mathcal{L}_p\)-spaces on finite von Neumann algebras. Zbl 1376.46050Junge, M.; Sukochev, F.; Zanin, D. 5 2017 Order and geometric properties of the set of Banach limits. Zbl 1373.46008Alekhno, E.; Semenov, E.; Sukochev, F.; Usachev, A. 5 2017 Singular traces and residues of the \(\zeta\)-function. Zbl 1378.58009Usachev, Alexandr; Sukochev, Fedor; Zanin, Dmitriy 4 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. 3 2017 Nehari-type theorem for non-commutative Hardy spaces. Zbl 1385.46048Sukochev, F.; Tulenov, K.; Zanin, D. 3 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. 1 2017 Determinants associated to traces on operator bimodules. Zbl 1389.46080Dykema, K.; Sukochev, F.; Zanin, D. 1 2017 Derivations with values in ideals of semifinite von Neumann algebras. Zbl 1372.46050Ber, A.; Huang, J.; Levitina, G.; Sukochev, F. 1 2017 Sets of uniformly absolutely continuous norm in symmetric spaces of measurable operators. Zbl 1362.46063Dodds, P. G.; De Pagter, B.; Sukochev, F. 21 2016 Johnson-Schechtman and Khintchine inequalities in noncommutative probability theory. Zbl 1375.46046Jiao, Yong; Sukochev, Fedor; Zanin, Dmitriy 8 2016 \(\Phi\)-moment inequalities for independent and freely independent random variables. Zbl 1356.46052Jiao, Yong; Sukochev, Fedor; Xie, Guangheng; Zanin, Dmitriy 8 2016 On reduction theory and Brown measure for closed unbounded operators. Zbl 1358.47026Dykema, K.; Noles, J.; Sukochev, F.; Zanin, D. 6 2016 Hölder inequality for symmetric operator spaces and trace property of K-cycles. Zbl 1380.47008Sukochev, F. 6 2016 Operator Lipschitz estimates in the unitary setting. Zbl 1337.47017Ayre, P. J.; Cowling, Michael G.; Sukochev, Fedor A. 6 2016 On the structure of invariant Banach limits. Zbl 1358.46018Alekhno, Egor; Semenov, Evgeniy; Sukochev, Fedor; Usachev, Alexandr 5 2016 Universal measurability and the Hochschild class of the Chern character. Zbl 1361.46050Carey, Alan L.; Rennie, Adam; Sukochev, Fedor; Zanin, Dmitriy 5 2016 Algebras of log-integrable functions and operators. Zbl 1373.46059Dykema, Ken; Sukochev, Fedor; Zanin, Dmitriy 4 2016 Trace formulas for a class of non-Fredholm operators: a review. Zbl 1394.47023Carey, Alan; Gesztesy, Fritz; Grosse, Harald; Levitina, Galina; Potapov, Denis; Sukochev, Fedor; Zanin, Dmitriy 4 2016 On index theory for non-Fredholm operators: a \((1+1)\)-dimensional example. Zbl 1384.47006Carey, Alan; Gesztesy, Fritz; Levitina, Galina; Potapov, Denis; Sukochev, Fedor; Zanin, Dima 4 2016 On the index of a non-Fredholm model operator. Zbl 1356.47018Carey, Alan; Gesztesy, Fritz; Levitina, Galina; Sukochev, Fedor 3 2016 Resolution of Peller’s problem concerning Koplienko-Neidhardt trace formulae. Zbl 1372.47020Coine, Clément; Le Merdy, Christian; Potapov, Denis; Sukochev, Fedor; Tomskova, Anna 3 2016 Functions of unitary operators: derivatives and trace formulas. Zbl 1336.47014Potapov, Denis; Skripka, Anna; Sukochev, Fedor 3 2016 Operator Lipschitz functions on Banach spaces. Zbl 1372.47022Rozendaal, Jan; Sukochev, Fedor; Tomskova, Anna 2 2016 The spectral shift function and the Witten index. Zbl 06981831Carey, Alan; Gesztesy, Fritz; Levitina, Galina; Sukochev, Fedor 1 2016 Double operator integral methods applied to continuity of spectral shift functions. Zbl 06694723Carey, Alan; Gesztesy, Fritz; Levitina, Galina; Nichols, Roger; Potapov, Denis; Sukochev, Fedor 1 2016 Peller’s problem concerning Koplienko-Neidhardt trace formulae: the unitary case. Zbl 1350.47011Coine, Clement; Le Merdy, Christian; Potapov, Denis; Sukochev, Fedor; Tomskova, Anna 1 2016 Banach limits and traces on \(\mathcal{L}_{1, \infty}\). Zbl 1405.47007Semenov, Evgeniy; Sukochev, Fedor; Usachev, Alexandr; Zanin, Dmitriy 20 2015 A decomposition theorem in \(\mathrm{II}_{1}\)-factors. Zbl 1343.46056Dykema, Kenneth; Sukochev, Fedor; Zanin, Dmitriy 8 2015 Fully symmetric function spaces without an equivalent Fatou norm. Zbl 1334.46025Sedaev, A. A.; Semenov, E. M.; Sukochev, F. A. 7 2015 Weak type estimates for the absolute value mapping. Zbl 1389.47063Caspers, M.; Potapov, D.; Sukochev, F.; Zanin, D. 6 2015 Spectral flow for nonunital spectral triples. Zbl 1365.46065Carey, Alan L.; Gayral, Victor; Phillips, John; Rennie, Adam; Sukochev, Fedor A. 5 2015 Some operator bounds employing complex interpolation revisited. Zbl 1380.47012Gesztesy, Fritz; Latushkin, Yuri; Sukochev, Fedor; Tomilov, Yuri 4 2015 Trace formulas for resolvent comparable operators. Zbl 1317.47017Potapov, Denis; Skripka, Anna; Sukochev, Fedor 4 2015 Holomorphic functional calculus on upper triangular forms in finite von Neumann algebras. Zbl 1353.47076Dykema, K.; Sukochev, F.; Zanin, D. 2 2015 On uniqueness of distribution of a random variable whose independent copies span a subspace in \(L_p\). Zbl 1345.46020Astashkin, S.; Sukochev, F.; Zanin, D. 2 2015 Isomorphic classification of \(L_{p, q}\)-spaces. Zbl 1342.46020Kuryakov, A.; Sukochev, F. 2 2015 Singular traces and perturbation formulae of higher order. Zbl 1319.47011Potapov, Denis; Sukochev, Fedor; Usachev, Alexandr; Zanin, Dmitriy 2 2015 On the Arazy conjecture concerning Schur multipliers on Schatten ideals. Zbl 1300.47027Potapov, Denis; Sukochev, Fedor; Tomskova, Anna 2 2015 Completeness of quasi-normed symmetric operator spaces. Zbl 1298.46051Sukochev, Fedor 33 2014 Index theory for locally compact noncommutative geometries. Zbl 1314.46081Carey, A. L.; Gayral, V.; Rennie, A.; Sukochev, F. A. 26 2014 On \(p\)-convexity and \(q\)-concavity in non-commutative symmetric spaces. Zbl 1298.46052Dodds, P. G.; Dodds, T. K.; Sukochev, F. A. 18 2014 Dixmier traces generated by exponentiation invariant generalised limits. Zbl 1303.46053Sukochev, Fedor; Usachev, Alexandr; Zanin, Dmitriy 8 2014 Higher-order spectral shift for contractions. Zbl 1293.47012Potapov, Denis; Skripka, Anna; Sukochev, Fedor 8 2014 Orlicz sequence spaces spanned by identically distributed independent random variables in \(L_p\)-spaces. Zbl 1325.46031Astashkin, S. V.; Sukochev, F. A. 7 2014 Continuous derivations on algebras of locally measurable operators are inner. Zbl 1304.46064Ber, A. F.; Chilin, V. I.; Sukochev, F. A. 7 2014 Completeness of quasi-normed operator ideals generated by \(s\)-numbers. Zbl 1301.47099Levitina, G.; Pietsch, A.; Sukochev, F. A.; Zanin, D. 7 2014 Geometric properties of the set of Banach limits. Zbl 1309.40003Semenov, E. M.; Sukochev, F. A.; Usachev, A. S. 7 2014 Disjointification inequalities in symmetric quasi-Banach spaces and their applications. Zbl 1318.46014Astashkin, Sergey; Sukochev, Fedor A.; Zanin, Dmitriy 6 2014 Dixmier traces and extrapolation description of noncommutative Lorentz spaces. Zbl 1305.46053Gayral, Victor; Sukochev, Fedor 6 2014 Fréchet differentiability of \(\mathcal{S}^p\) norms. Zbl 1311.46043Potapov, Denis; Sukochev, Fedor 6 2014 A Jost-Pais-type reduction of Fredholm determinants and some applications. Zbl 1311.47027Carey, Alan; Gesztesy, Fritz; Potapov, Denis; Sukochev, Fedor; Tomilov, Yuri 6 2014 Fréchet differentiability of the norm of \(L_p\)-spaces associated with arbitrary von Neumann algebras. Zbl 1315.46070Potapov, Denis; Sukochev, Fedor; Tomskova, Anna; Zanin, Dmitriy 5 2014 The best constants for operator Lipschitz functions on Schatten classes. Zbl 06354029Caspers, M.; Montgomery-Smith, S.; Potapov, D.; Sukochev, F. 4 2014 Krein’s trace theorem revisited. Zbl 1328.47022Potapov, Denis; Sukochev, Fedor; Zanin, Dmitriy 4 2014 Which traces are spectral? Zbl 1317.47068Sukochev, F.; Zanin, D. 4 2014 Dixmier traces are weak dense in the set of all fully symmetric traces. Zbl 1305.46054Sukochev, F.; Zanin, D. 2 2014 Sums and intersections of symmetric operator spaces. Zbl 1323.47081Semenov, E. M.; Sukochev, F. A. 1 2014 Singular traces. Theory and applications. Zbl 1275.47002Lord, Steven; Sukochev, Fedor; Zanin, Dmitriy 80 2013 Spectral shift function of higher order. Zbl 1282.47012Potapov, Denis; Skripka, Anna; Sukochev, Fedor 25 2013 Traces of compact operators and the noncommutative residue. Zbl 1272.46056Kalton, Nigel; Lord, Steven; Potapov, Denis; Sukochev, Fedor 20 2013 Dixmier measurability in Marcinkiewicz spaces and applications. Zbl 1295.46055Sedaev, A. A.; Sukochev, F. A. 11 2013 ...and 145 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 477 Authors 182 Sukochev, Fedor Anatol’evich 55 Zanin, Dmitriy V. 35 Astashkin, Sergeĭ Vladimir 29 Carey, Alan L. 29 Potapov, Denis 27 Rennie, Adam 24 Semënov, Evgeniĭ Mikhaĭlovich 20 Chilin, Vladimir Ivanovich 20 Dodds, Peter G. 20 Usachev, Aleksandr Sergeevich 19 Peller, Vladimir Vsevolodovich 18 Bikchentaev, Aĭrat Midkhatovich 18 Skripka, Anna 16 de Pagter, Bernardus 16 Kudaybergenov, Karimbergen K. 16 Shakhmurov, Veli B. 15 Pietsch, Albrecht 14 Ber, Aleksey Feliksovich 14 Weis, Lutz W. 13 Ayupov, Shavkat Abdullaevich 13 Randrianantoanina, Narcisse 12 Aleksandrov, Aleksei B. 12 Le Merdy, Christian 11 Gesztesy, Fritz 11 Hudzik, Henryk 11 Jiao, Yong 10 Dodds, Theresa K. 10 Dykema, Kenneth J. 10 Levitina, Galina 10 van Neerven, Jan M. A. M. 10 Veraar, Mark C. 10 Wu, Lian 9 Hytönen, Tuomas P. 9 Junge, Marius 8 Ciesielski, Maciej 8 Kaad, Jens 8 Kolwicz, Paweł 8 Lord, Steven 8 Mcdonald, Edward A. 8 Phillips, John 8 Sedaev, Alexander A. 8 Tulenov, Kanat Serikovich 7 Schulz-Baldes, Hermann 7 Tomskova, Anna 6 Azamov, Nurulla A. 6 Foralewski, Paweł 6 Han, Yazhou 6 Huang, Jinghao 6 Kalton, Nigel John 5 Alekhno, Egor Aleksandrovich 5 Caspers, Martijn 5 Connes, Alain 5 Czerwińska, Małgorzata Marta 5 Gayral, Victor 5 Goffeng, Magnus 5 Iochum, Bruno 5 Kamińska, Anna 5 Litvinov, Semyon N. 5 Lizama, Carlos 5 Nazarov, Fedor L. 5 Oikhberg, Timur 5 Pushnitski, Alexander B. 5 Sakbaev, Vsevolod Zhanovich 5 Shao, Jingjing 5 Xu, Quanhua 5 Zhou, Dejian 4 Albeverio, Sergio A. 4 Bekjan, Turdebek N. 4 Bekjan, Turdebek Nurlybekuly 4 Bu, Shangquan 4 Dauitbek, Dostilek 4 Nest, Ryszard 4 Portal, Pierre 4 Tradacete Pérez, Pedro 4 Várilly, Joseph C. 3 Agarwal, Ravi P. 3 Bourne, Chris 3 Cadilhac, Léonard 3 Coine, Clement 3 Dirksen, Sjoerd 3 Ferleger, Sergei V. 3 Grosse, Harald 3 Guido, Daniele 3 Hernández Rodriguez, Francisco L. 3 Isola, Tommaso 3 Kaczmarek, Radosław 3 Kunstmann, Peer Christian 3 Loreaux, Jireh 3 Mesland, Bram 3 Mirotin, Adol’f Rubimovich 3 Osękowski, Adam 3 Pask, David 3 Peralta, Antonio M. 3 Pfitzner, Hermann 3 Poblete, Verónica 3 Ponge, Raphaël S. 3 Prodan, Emil 3 Sims, Aidan 3 Sitarz, Andrzej 3 Strakhov, S. 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