## Zanin, Dmitriy V.

Compute Distance To:
 Author ID: zanin.dmitriy-v Published as: Zanin, Dmitriy; Zanin, D.; Zanin, D. V.; Zanin, Dmitriy V.; Zanin, Dmitry; Zanin, Dima more...less External Links: ResearchGate · dblp
 Documents Indexed: 85 Publications since 2004, including 2 Books Co-Authors: 40 Co-Authors with 85 Joint Publications 937 Co-Co-Authors
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### Co-Authors

 0 single-authored 82 Sukochev, Fedor Anatol’evich 9 Potapov, Denis 8 Dykema, Kenneth J. 8 Usachev, Aleksandr Sergeevich 7 Jiao, Yong 7 Levitina, Galina Borisovna 7 McDonald, Edward Andrew 5 Caspers, Martijn 5 Lord, Steven 5 Semënov, Evgeniĭ Mikhaĭlovich 4 Astashkin, Sergeĭ Vladimir 4 Carey, Alan L. 4 Tulenov, Kanat Serikovich 3 Connes, Alain 3 Dodds, Peter G. 3 Dodds, Theresa K. 3 Gesztesy, Fritz 2 Azamov, Nurulla A. 2 Ber, Aleksey Feliksovich 2 Huang, Jinghao 2 Junge, Marius 2 Noles, Joseph 2 Vella, Dominic 2 Xie, Guangheng 2 Zhou, Dejian 1 Aubrun, Guillaume 1 Britz, Thomas 1 Charlesworth, Ian 1 Chilin, Vladimir Ivanovich 1 Ganikhodjaev, Nasir Nabievich 1 Grosse, Harald 1 Hekkelman, E. 1 Kalton, Nigel John 1 Nichols, Roger 1 Pietsch, Albrecht 1 Pliev, Marat Amurkhanovich 1 Rennie, Adam 1 Sedaev, Alexander A. 1 Tomskova, Anna 1 Wu, Lian
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### Serials

 16 Journal of Functional Analysis 6 Studia Mathematica 5 Advances in Mathematics 5 Integral Equations and Operator Theory 4 Proceedings of the American Mathematical Society 3 Israel Journal of Mathematics 3 Journal of Operator Theory 3 Indagationes Mathematicae. New Series 2 Communications in Mathematical Physics 2 Journal of Geometry and Physics 2 Journal of the London Mathematical Society. Second Series 2 Journal für die Reine und Angewandte Mathematik 2 Pacific Journal of Mathematics 2 De Gruyter Studies in Mathematics 2 Journal of Spectral Theory 1 Journal of Mathematical Analysis and Applications 1 Letters in Mathematical Physics 1 Russian Mathematical Surveys 1 Reviews in Mathematical Physics 1 American Journal of Mathematics 1 Annales de l’Institut Fourier 1 Canadian Journal of Mathematics 1 Functional Analysis and its Applications 1 Illinois Journal of Mathematics 1 Indiana University Mathematics Journal 1 Mathematische Annalen 1 Mathematische Nachrichten 1 Proceedings of the London Mathematical Society. Third Series 1 Transactions of the American Mathematical Society 1 Ergodic Theory and Dynamical Systems 1 The Journal of Geometric Analysis 1 Russian Journal of Mathematical Physics 1 Bulletin des Sciences Mathématiques 1 Sbornik: Mathematics 1 Revista Matemática Complutense 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Complex Analysis and Operator Theory 1 Journal of Noncommutative Geometry 1 Proceedings of the American Mathematical Society. Series B
all top 5

### Fields

 58 Functional analysis (46-XX) 48 Operator theory (47-XX) 16 Global analysis, analysis on manifolds (58-XX) 10 Probability theory and stochastic processes (60-XX) 4 Sequences, series, summability (40-XX) 3 Functions of a complex variable (30-XX) 3 Partial differential equations (35-XX) 3 Integral transforms, operational calculus (44-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX)

### Citations contained in zbMATH Open

71 Publications have been cited 501 times in 251 Documents Cited by Year
Singular traces. Theory and applications. Zbl 1275.47002
Lord, Steven; Sukochev, Fedor; Zanin, Dmitriy
2013
On a necessary condition for the ergodicity of quadratic operators defined on a two-dimensional simplex. Zbl 1160.37307
Ganikhodzhaev, N. N.; Zanin, D. V.
2004
Banach limits and traces on $$\mathcal{L}_{1, \infty}$$. Zbl 1405.47007
Semenov, Evgeniy; Sukochev, Fedor; Usachev, Alexandr; Zanin, Dmitriy
2015
$$\zeta$$-function and heat kernel formulae. Zbl 1235.46061
Sukochev, Fedor; Zanin, Dmitriy
2011
Weak type commutator and Lipschitz estimates: resolution of the Nazarov-Peller conjecture. Zbl 07069612
Caspers, M.; Potapov, D.; Sukochev, F.; Zanin, D.
2019
Traces on symmetrically normed operator ideals. Zbl 1275.47131
Sukochev, Fedor; Zanin, Dmitriy
2013
Johnson-Schechtman inequalities for noncommutative martingales. Zbl 1368.46054
Jiao, Yong; Sukochev, Fedor; Zanin, Dmitriy; Zhou, Dejian
2017
Generalized limits with additional invariance properties and their applications to noncommutative geometry. Zbl 1294.46056
Sukochev, Fedor; Usachev, Alexandr; Zanin, Dmitriy
2013
A decomposition theorem in $$\mathrm{II}_{1}$$-factors. Zbl 1343.46056
Dykema, Kenneth; Sukochev, Fedor; Zanin, Dmitriy
2015
Connes integration formula for the noncommutative plane. Zbl 1396.46054
Sukochev, F.; Zanin, D.
2018
Lidskii-type formulae for Dixmier traces. Zbl 1208.46062
Sedaev, A. A.; Sukochev, F. A.; Zanin, D. V.
2010
On the distinction between the classes of Dixmier and Connes-Dixmier traces. Zbl 1272.46057
Sukochev, Fedor; Usachev, Alexandr; Zanin, Dmitriy
2013
Dixmier traces generated by exponentiation invariant generalised limits. Zbl 1303.46053
Sukochev, Fedor; Usachev, Alexandr; Zanin, Dmitriy
2014
Logarithmic submajorisation and order-preserving linear isometries. Zbl 1444.46009
Huang, J.; Sukochev, F.; Zanin, D.
2020
Johnson-Schechtman and Khintchine inequalities in noncommutative probability theory. Zbl 1375.46046
Jiao, Yong; Sukochev, Fedor; Zanin, Dmitriy
2016
Weak type estimates for the absolute value mapping. Zbl 1389.47063
Caspers, M.; Potapov, D.; Sukochev, F.; Zanin, D.
2015
Orbits in symmetric spaces. Zbl 1182.46018
Sukochev, F.; Zanin, D.
2009
Embeddings of operator ideals into $$\mathcal{L}_p$$-spaces on finite von Neumann algebras. Zbl 1376.46050
Junge, M.; Sukochev, F.; Zanin, D.
2017
$$\Phi$$-moment inequalities for independent and freely independent random variables. Zbl 1356.46052
Jiao, Yong; Sukochev, Fedor; Xie, Guangheng; Zanin, Dmitriy
2016
Completeness of quasi-normed operator ideals generated by $$s$$-numbers. Zbl 1301.47099
Levitina, G.; Pietsch, A.; Sukochev, F. A.; Zanin, D.
2014
Cwikel estimates revisited. Zbl 1443.47023
Levitina, Galina; Sukochev, Fedor; Zanin, Dmitriy
2020
Johnson-Schechtman inequalities in the free probability theory. Zbl 1264.46046
Sukochev, F.; Zanin, D.
2012
On reduction theory and Brown measure for closed unbounded operators. Zbl 1358.47026
Dykema, K.; Noles, J.; Sukochev, F.; Zanin, D.
2016
Logarithmic submajorization, uniform majorization and Hölder type inequalities for $$\tau$$-measurable operators. Zbl 07243530
Dodds, P. G.; Dodds, T. K.; Sukochev, F. A.; Zanin, D.
2020
A $$C^*$$-algebraic approach to the principal symbol. II. Zbl 1427.46048
McDonald, Edward; Sukochev, Fedor; Zanin, Dmitriy
2019
Universal measurability and the Hochschild class of the Chern character. Zbl 1361.46050
Carey, Alan L.; Rennie, Adam; Sukochev, Fedor; Zanin, Dmitriy
2016
An upper triangular decomposition theorem for some unbounded operators affiliated to $$\mathrm{II}_{1}$$-factors. Zbl 06821077
Dykema, Ken; Sukochev, Fedor; Zanin, Dmitriy
2017
Trace theorem for quasi-Fuchsian groups. Zbl 1455.30035
Connes, Alain; Sukochev, Fedor A.; Zanin, Dmitriy V.
2017
Nehari-type theorem for non-commutative Hardy spaces. Zbl 1385.46048
Sukochev, F.; Tulenov, K.; Zanin, D.
2017
Algebras of log-integrable functions and operators. Zbl 1373.46059
Dykema, Ken; Sukochev, Fedor; Zanin, Dmitriy
2016
Which traces are spectral? Zbl 1317.47068
Sukochev, F.; Zanin, D.
2014
Disjointification inequalities in symmetric quasi-Banach spaces and their applications. Zbl 1318.46014
Astashkin, Sergey; Sukochev, Fedor A.; Zanin, Dmitriy
2014
Conformal trace theorem for Julia sets of quadratic polynomials. Zbl 1425.37032
Connes, A.; Mcdonald, E.; Sukochev, F.; Zanin, D.
2019
The optimal range of the Calderòn operator and its applications. Zbl 1437.46036
Sukochev, F.; Tulenov, K.; Zanin, D.
2019
Trace formulas for a class of non-Fredholm operators: a review. Zbl 1394.47023
Carey, Alan; Gesztesy, Fritz; Grosse, Harald; Levitina, Galina; Potapov, Denis; Sukochev, Fedor; Zanin, Dmitriy
2016
Quantum differentiability of essentially bounded functions on Euclidean space. Zbl 1385.46054
Lord, Steven; McDonald, Edward; Sukochev, Fedor; Zanin, Dmitry
2017
Fréchet differentiability of the norm of $$L_p$$-spaces associated with arbitrary von Neumann algebras. (Différentiabilité au sens de Fréchet de la norme d’un espace $$L_p$$ associé à une algèbre de von Neumann arbitraire.) Zbl 1315.46070
Potapov, Denis; Sukochev, Fedor; Tomskova, Anna; Zanin, Dmitriy
2014
Krein’s trace theorem revisited. Zbl 1328.47022
Potapov, Denis; Sukochev, Fedor; Zanin, Dmitriy
2014
Advances in Dixmier traces and applications. Zbl 1457.46064
Lord, Steven; Sukochev, Fedor A.; Zanin, Dmitriy
2019
A last theorem of Kalton and finiteness of Connes’ integral. Zbl 1460.46068
Lord, S.; Sukochev, F.; Zanin, D.
2020
Singular traces and residues of the $$\zeta$$-function. Zbl 1378.58009
Usachev, Alexandr; Sukochev, Fedor; Zanin, Dmitriy
2017
On index theory for non-Fredholm operators: a $$(1+1)$$-dimensional example. Zbl 1384.47006
Carey, Alan; Gesztesy, Fritz; Levitina, Galina; Potapov, Denis; Sukochev, Fedor; Zanin, Dima
2016
Sums of independent and freely independent identically distributed random variables. Zbl 1471.60009
Jiao, Yong; Sukochev, Fedor; Zanin, Dmitriy
2020
Dilation invariant Banach limits. Zbl 1459.46026
Semenov, E.; Sukochev, F.; Usachev, A.; Zanin, D.
2020
Noncommutative dyadic martingales and Walsh-Fourier series. Zbl 1401.46043
Jiao, Yong; Zhou, Dejian; Wu, Lian; Zanin, Dmitriy
2018
On uniqueness of distribution of a random variable whose independent copies span a subspace in $$L_p$$. Zbl 1345.46020
Astashkin, S.; Sukochev, F.; Zanin, D.
2015
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 07002304
Caspers, Martijn; Sukochev, Fedor; Zanin, Dmitriy
2018
A Dixmier trace formula for the density of states. Zbl 07220112
Azamov, N.; McDonald, E.; Sukochev, F.; Zanin, D.
2020
Schatten class estimates for the Riesz map of massless Dirac operators. Zbl 1392.35248
Levitina, Galina; Sukochev, Fedor; Vella, Dominic; Zanin, Dmitriy
2018
Noncommutative geometry for symmetric non-self-adjoint operators. Zbl 07063161
Connes, Alain; Levitina, Galina; McDonald, Edward; Sukochev, Fedor; Zanin, Dmitriy
2019
Fubini theorem in noncommutative geometry. Zbl 1357.58009
Sukochev, F.; Zanin, D.
2017
Singular traces and perturbation formulae of higher order. Zbl 1319.47011
Potapov, Denis; Sukochev, Fedor; Usachev, Alexandr; Zanin, Dmitriy
2015
Orbits in symmetric spaces. II. Zbl 1204.46019
Kalton, N. J.; Sukochev, F. A.; Zanin, D.
2010
Holomorphic functional calculus on upper triangular forms in finite von Neumann algebras. Zbl 1353.47076
Dykema, K.; Sukochev, F.; Zanin, D.
2015
Dixmier traces are weak dense in the set of all fully symmetric traces. Zbl 1305.46054
Sukochev, F.; Zanin, D.
2014
A $$C^*$$-algebraic approach to the principal symbol. I. Zbl 1424.46097
Sukochev, F.; Zanin, D.
2018
Sign of a perturbed massive Dirac operator and associated Fredholm module. Zbl 1414.35191
Levitina, Galina; Sukochev, Fedor; Zanin, Dmitriy
2019
Invariant Banach limits and applications to noncommutative geometry. Zbl 1455.46023
Semenov, Evgenii; Sukochev, Fedor; Usachev, Alexandr; Zanin, Dmitriy
2020
Arithmetic-geometric mean and related submajorisation and norm inequalities for $$\tau$$-measurable operators. II. Zbl 1460.46055
Dodds, P. G.; Dodds, T. K.; Sukochev, F. A.; Zanin, D.
2020
BMO-estimates for non-commutative vector valued Lipschitz functions. Zbl 1483.47077
Caspers, M.; Junge, M.; Sukochev, F.; Zanin, D.
2020
The product formula for regularized Fredholm determinants. Zbl 07326419
Britz, Thomas; Carey, Alan; Gesztesy, Fritz; Nichols, Roger; Sukochev, Fedor; Zanin, Dmitriy
2021
Singular traces. Volume 1. Theory. 2nd corrected and expanded edition. Zbl 07353467
Lord, Steven; Sukochev, Fedor; Zanin, Dmitriy
2021
Khinchin inequality and Banach–Saks type properties in rearrangement-invariant spaces. Zbl 1175.46018
Sukochev, F. A.; Zanin, D.
2009
Fuglede-Putnam theorem for locally measurable operators. Zbl 1431.46045
Ber, A.; Chilin, V.; Sukochev, F.; Zanin, D.
2018
Determinants associated to traces on operator bimodules. Zbl 1389.46080
Dykema, K.; Sukochev, F.; Zanin, D.
2017
Heisenberg relation for locally measurable operators. Zbl 1409.46035
Ber, A.; Sukochev, F.; Zanin, D.
2018
Decomposability and norm convergence properties in finite von Neumann algebras. Zbl 06965951
Dykema, Ken; Noles, Joseph; Zanin, Dmitriy
2018
A residue formula for locally compact noncommutative manifolds. Zbl 1454.58008
Potapov, Denis; Sukochev, Fedor; Vella, Dominic; Zanin, Dmitriy
2019
Arithmetic-geometric mean and related submajorisation and norm inequalities for $$\tau$$-measurable operators. I. Zbl 1460.46054
Dodds, P. G.; Dodds, T. K.; Sukochev, F. A.; Zanin, D.
2020
On subspaces spanned by freely independent random variables in noncommutative $$L_p$$-spaces. Zbl 1462.46072
Jiao, Yong; Sukochev, Fedor; Zanin, Dmitriy
2020
Simultaneous upper triangular forms for commuting operators in a finite von Neumann algebra. Zbl 07250093
Charlesworth, Ian; Dykema, Ken; Sukochev, Fedor; Zanin, Dmitriy
2020
The product formula for regularized Fredholm determinants. Zbl 07326419
Britz, Thomas; Carey, Alan; Gesztesy, Fritz; Nichols, Roger; Sukochev, Fedor; Zanin, Dmitriy
2021
Singular traces. Volume 1. Theory. 2nd corrected and expanded edition. Zbl 07353467
Lord, Steven; Sukochev, Fedor; Zanin, Dmitriy
2021
Logarithmic submajorisation and order-preserving linear isometries. Zbl 1444.46009
Huang, J.; Sukochev, F.; Zanin, D.
2020
Cwikel estimates revisited. Zbl 1443.47023
Levitina, Galina; Sukochev, Fedor; Zanin, Dmitriy
2020
Logarithmic submajorization, uniform majorization and Hölder type inequalities for $$\tau$$-measurable operators. Zbl 07243530
Dodds, P. G.; Dodds, T. K.; Sukochev, F. A.; Zanin, D.
2020
A last theorem of Kalton and finiteness of Connes’ integral. Zbl 1460.46068
Lord, S.; Sukochev, F.; Zanin, D.
2020
Sums of independent and freely independent identically distributed random variables. Zbl 1471.60009
Jiao, Yong; Sukochev, Fedor; Zanin, Dmitriy
2020
Dilation invariant Banach limits. Zbl 1459.46026
Semenov, E.; Sukochev, F.; Usachev, A.; Zanin, D.
2020
A Dixmier trace formula for the density of states. Zbl 07220112
Azamov, N.; McDonald, E.; Sukochev, F.; Zanin, D.
2020
Invariant Banach limits and applications to noncommutative geometry. Zbl 1455.46023
Semenov, Evgenii; Sukochev, Fedor; Usachev, Alexandr; Zanin, Dmitriy
2020
Arithmetic-geometric mean and related submajorisation and norm inequalities for $$\tau$$-measurable operators. II. Zbl 1460.46055
Dodds, P. G.; Dodds, T. K.; Sukochev, F. A.; Zanin, D.
2020
BMO-estimates for non-commutative vector valued Lipschitz functions. Zbl 1483.47077
Caspers, M.; Junge, M.; Sukochev, F.; Zanin, D.
2020
Arithmetic-geometric mean and related submajorisation and norm inequalities for $$\tau$$-measurable operators. I. Zbl 1460.46054
Dodds, P. G.; Dodds, T. K.; Sukochev, F. A.; Zanin, D.
2020
On subspaces spanned by freely independent random variables in noncommutative $$L_p$$-spaces. Zbl 1462.46072
Jiao, Yong; Sukochev, Fedor; Zanin, Dmitriy
2020
Simultaneous upper triangular forms for commuting operators in a finite von Neumann algebra. Zbl 07250093
Charlesworth, Ian; Dykema, Ken; Sukochev, Fedor; Zanin, Dmitriy
2020
Weak type commutator and Lipschitz estimates: resolution of the Nazarov-Peller conjecture. Zbl 07069612
Caspers, M.; Potapov, D.; Sukochev, F.; Zanin, D.
2019
A $$C^*$$-algebraic approach to the principal symbol. II. Zbl 1427.46048
McDonald, Edward; Sukochev, Fedor; Zanin, Dmitriy
2019
Conformal trace theorem for Julia sets of quadratic polynomials. Zbl 1425.37032
Connes, A.; Mcdonald, E.; Sukochev, F.; Zanin, D.
2019
The optimal range of the Calderòn operator and its applications. Zbl 1437.46036
Sukochev, F.; Tulenov, K.; Zanin, D.
2019
Advances in Dixmier traces and applications. Zbl 1457.46064
Lord, Steven; Sukochev, Fedor A.; Zanin, Dmitriy
2019
Noncommutative geometry for symmetric non-self-adjoint operators. Zbl 07063161
Connes, Alain; Levitina, Galina; McDonald, Edward; Sukochev, Fedor; Zanin, Dmitriy
2019
Sign of a perturbed massive Dirac operator and associated Fredholm module. Zbl 1414.35191
Levitina, Galina; Sukochev, Fedor; Zanin, Dmitriy
2019
A residue formula for locally compact noncommutative manifolds. Zbl 1454.58008
Potapov, Denis; Sukochev, Fedor; Vella, Dominic; Zanin, Dmitriy
2019
Connes integration formula for the noncommutative plane. Zbl 1396.46054
Sukochev, F.; Zanin, D.
2018
Noncommutative dyadic martingales and Walsh-Fourier series. Zbl 1401.46043
Jiao, Yong; Zhou, Dejian; Wu, Lian; Zanin, Dmitriy
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 07002304
Caspers, Martijn; Sukochev, Fedor; Zanin, Dmitriy
2018
Schatten class estimates for the Riesz map of massless Dirac operators. Zbl 1392.35248
Levitina, Galina; Sukochev, Fedor; Vella, Dominic; Zanin, Dmitriy
2018
A $$C^*$$-algebraic approach to the principal symbol. I. Zbl 1424.46097
Sukochev, F.; Zanin, D.
2018
Fuglede-Putnam theorem for locally measurable operators. Zbl 1431.46045
Ber, A.; Chilin, V.; Sukochev, F.; Zanin, D.
2018
Heisenberg relation for locally measurable operators. Zbl 1409.46035
Ber, A.; Sukochev, F.; Zanin, D.
2018
Decomposability and norm convergence properties in finite von Neumann algebras. Zbl 06965951
Dykema, Ken; Noles, Joseph; Zanin, Dmitriy
2018
Johnson-Schechtman inequalities for noncommutative martingales. Zbl 1368.46054
Jiao, Yong; Sukochev, Fedor; Zanin, Dmitriy; Zhou, Dejian
2017
Embeddings of operator ideals into $$\mathcal{L}_p$$-spaces on finite von Neumann algebras. Zbl 1376.46050
Junge, M.; Sukochev, F.; Zanin, D.
2017
An upper triangular decomposition theorem for some unbounded operators affiliated to $$\mathrm{II}_{1}$$-factors. Zbl 06821077
Dykema, Ken; Sukochev, Fedor; Zanin, Dmitriy
2017
Trace theorem for quasi-Fuchsian groups. Zbl 1455.30035
Connes, Alain; Sukochev, Fedor A.; Zanin, Dmitriy V.
2017
Nehari-type theorem for non-commutative Hardy spaces. Zbl 1385.46048
Sukochev, F.; Tulenov, K.; Zanin, D.
2017
Quantum differentiability of essentially bounded functions on Euclidean space. Zbl 1385.46054
Lord, Steven; McDonald, Edward; Sukochev, Fedor; Zanin, Dmitry
2017
Singular traces and residues of the $$\zeta$$-function. Zbl 1378.58009
Usachev, Alexandr; Sukochev, Fedor; Zanin, Dmitriy
2017
Fubini theorem in noncommutative geometry. Zbl 1357.58009
Sukochev, F.; Zanin, D.
2017
Determinants associated to traces on operator bimodules. Zbl 1389.46080
Dykema, K.; Sukochev, F.; Zanin, D.
2017
Johnson-Schechtman and Khintchine inequalities in noncommutative probability theory. Zbl 1375.46046
Jiao, Yong; Sukochev, Fedor; Zanin, Dmitriy
2016
$$\Phi$$-moment inequalities for independent and freely independent random variables. Zbl 1356.46052
Jiao, Yong; Sukochev, Fedor; Xie, Guangheng; Zanin, Dmitriy
2016
On reduction theory and Brown measure for closed unbounded operators. Zbl 1358.47026
Dykema, K.; Noles, J.; Sukochev, F.; Zanin, D.
2016
Universal measurability and the Hochschild class of the Chern character. Zbl 1361.46050
Carey, Alan L.; Rennie, Adam; Sukochev, Fedor; Zanin, Dmitriy
2016
Algebras of log-integrable functions and operators. Zbl 1373.46059
Dykema, Ken; Sukochev, Fedor; Zanin, Dmitriy
2016
Trace formulas for a class of non-Fredholm operators: a review. Zbl 1394.47023
Carey, Alan; Gesztesy, Fritz; Grosse, Harald; Levitina, Galina; Potapov, Denis; Sukochev, Fedor; Zanin, Dmitriy
2016
On index theory for non-Fredholm operators: a $$(1+1)$$-dimensional example. Zbl 1384.47006
Carey, Alan; Gesztesy, Fritz; Levitina, Galina; Potapov, Denis; Sukochev, Fedor; Zanin, Dima
2016
Banach limits and traces on $$\mathcal{L}_{1, \infty}$$. Zbl 1405.47007
Semenov, Evgeniy; Sukochev, Fedor; Usachev, Alexandr; Zanin, Dmitriy
2015
A decomposition theorem in $$\mathrm{II}_{1}$$-factors. Zbl 1343.46056
Dykema, Kenneth; Sukochev, Fedor; Zanin, Dmitriy
2015
Weak type estimates for the absolute value mapping. Zbl 1389.47063
Caspers, M.; Potapov, D.; Sukochev, F.; Zanin, D.
2015
On uniqueness of distribution of a random variable whose independent copies span a subspace in $$L_p$$. Zbl 1345.46020
Astashkin, S.; Sukochev, F.; Zanin, D.
2015
Singular traces and perturbation formulae of higher order. Zbl 1319.47011
Potapov, Denis; Sukochev, Fedor; Usachev, Alexandr; Zanin, Dmitriy
2015
Holomorphic functional calculus on upper triangular forms in finite von Neumann algebras. Zbl 1353.47076
Dykema, K.; Sukochev, F.; Zanin, D.
2015
Dixmier traces generated by exponentiation invariant generalised limits. Zbl 1303.46053
Sukochev, Fedor; Usachev, Alexandr; Zanin, Dmitriy
2014
Completeness of quasi-normed operator ideals generated by $$s$$-numbers. Zbl 1301.47099
Levitina, G.; Pietsch, A.; Sukochev, F. A.; Zanin, D.
2014
Which traces are spectral? Zbl 1317.47068
Sukochev, F.; Zanin, D.
2014
Disjointification inequalities in symmetric quasi-Banach spaces and their applications. Zbl 1318.46014
Astashkin, Sergey; Sukochev, Fedor A.; Zanin, Dmitriy
2014
Fréchet differentiability of the norm of $$L_p$$-spaces associated with arbitrary von Neumann algebras. (Différentiabilité au sens de Fréchet de la norme d’un espace $$L_p$$ associé à une algèbre de von Neumann arbitraire.) Zbl 1315.46070
Potapov, Denis; Sukochev, Fedor; Tomskova, Anna; Zanin, Dmitriy
2014
Krein’s trace theorem revisited. Zbl 1328.47022
Potapov, Denis; Sukochev, Fedor; Zanin, Dmitriy
2014
Dixmier traces are weak dense in the set of all fully symmetric traces. Zbl 1305.46054
Sukochev, F.; Zanin, D.
2014
Singular traces. Theory and applications. Zbl 1275.47002
Lord, Steven; Sukochev, Fedor; Zanin, Dmitriy
2013
Traces on symmetrically normed operator ideals. Zbl 1275.47131
Sukochev, Fedor; Zanin, Dmitriy
2013
Generalized limits with additional invariance properties and their applications to noncommutative geometry. Zbl 1294.46056
Sukochev, Fedor; Usachev, Alexandr; Zanin, Dmitriy
2013
On the distinction between the classes of Dixmier and Connes-Dixmier traces. Zbl 1272.46057
Sukochev, Fedor; Usachev, Alexandr; Zanin, Dmitriy
2013
Johnson-Schechtman inequalities in the free probability theory. Zbl 1264.46046
Sukochev, F.; Zanin, D.
2012
$$\zeta$$-function and heat kernel formulae. Zbl 1235.46061
Sukochev, Fedor; Zanin, Dmitriy
2011
Lidskii-type formulae for Dixmier traces. Zbl 1208.46062
Sedaev, A. A.; Sukochev, F. A.; Zanin, D. V.
2010
Orbits in symmetric spaces. II. Zbl 1204.46019
Kalton, N. J.; Sukochev, F. A.; Zanin, D.
2010
Orbits in symmetric spaces. Zbl 1182.46018
Sukochev, F.; Zanin, D.
2009
Khinchin inequality and Banach–Saks type properties in rearrangement-invariant spaces. Zbl 1175.46018
Sukochev, F. A.; Zanin, D.
2009
On a necessary condition for the ergodicity of quadratic operators defined on a two-dimensional simplex. Zbl 1160.37307
Ganikhodzhaev, N. N.; Zanin, D. V.
2004
all top 5

### Cited by 206 Authors

 38 Journal of Functional Analysis 16 Integral Equations and Operator Theory 12 Advances in Mathematics 12 Positivity 10 Journal of Mathematical Analysis and Applications 8 Communications in Mathematical Physics 8 Studia Mathematica 7 Proceedings of the American Mathematical Society 6 Indagationes Mathematicae. New Series 5 Mathematical Notes 4 Journal of Geometry and Physics 4 Lobachevskii Journal of Mathematics 3 Israel Journal of Mathematics 3 Archiv der Mathematik 3 Journal of the London Mathematical Society. Second Series 3 Ergodic Theory and Dynamical Systems 3 Linear Algebra and its Applications 3 Journal of Difference Equations and Applications 3 Qualitative Theory of Dynamical Systems 2 Letters in Mathematical Physics 2 Reviews in Mathematical Physics 2 Bulletin of the London Mathematical Society 2 Canadian Journal of Mathematics 2 Colloquium Mathematicum 2 Glasgow Mathematical Journal 2 Mathematische Annalen 2 Mathematische Nachrichten 2 Mathematische Zeitschrift 2 Quaestiones Mathematicae 2 Results in Mathematics 2 Siberian Mathematical Journal 2 International Journal of Mathematics 2 The Journal of Geometric Analysis 2 St. Petersburg Mathematical Journal 2 Mathematical Physics, Analysis and Geometry 2 Sibirskie Èlektronnye Matematicheskie Izvestiya 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Complex Analysis and Operator Theory 2 Journal of Noncommutative Geometry 2 Annals of Functional Analysis 2 Journal of Spectral Theory 2 Advances in Operator Theory 1 Journal of Mathematical Physics 1 Linear and Multilinear Algebra 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Russian Mathematical Surveys 1 Ukrainian Mathematical Journal 1 Annales de l’Institut Fourier 1 The Annals of Probability 1 Functional Analysis and its Applications 1 Illinois Journal of Mathematics 1 Manuscripta Mathematica 1 Memoirs of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Transactions of the American Mathematical Society 1 Stochastic Analysis and Applications 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Russian Mathematics 1 Russian Journal of Mathematical Physics 1 Journal of the Egyptian Mathematical Society 1 Filomat 1 Journal of Convex Analysis 1 Bulletin des Sciences Mathématiques 1 Sbornik: Mathematics 1 The Journal of Fourier Analysis and Applications 1 Journal of Inequalities and Applications 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 Revista Matemática Complutense 1 Foundations of Science 1 Journal of High Energy Physics 1 Annales Henri Poincaré 1 Dynamical Systems 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 1 Operators and Matrices 1 Banach Journal of Mathematical Analysis 1 Discrete and Continuous Dynamical Systems. Series S 1 Commentationes Mathematicae 1 Advances in Mathematical Physics 1 Probability Surveys 1 Forum of Mathematics, Sigma 1 Discontinuity, Nonlinearity, and Complexity 1 Mathematics 1 The Scientific World Journal. Probability and Statistics 1 Journal of Fractal Geometry 1 Annals of $$K$$-Theory
 165 Functional analysis (46-XX) 139 Operator theory (47-XX) 32 Global analysis, analysis on manifolds (58-XX) 28 Probability theory and stochastic processes (60-XX) 26 Dynamical systems and ergodic theory (37-XX) 16 Quantum theory (81-XX) 14 Harmonic analysis on Euclidean spaces (42-XX) 12 Partial differential equations (35-XX) 11 Biology and other natural sciences (92-XX) 9 Sequences, series, summability (40-XX) 6 Functions of a complex variable (30-XX) 4 Number theory (11-XX) 4 Real functions (26-XX) 4 Integral transforms, operational calculus (44-XX) 4 Statistical mechanics, structure of matter (82-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Ordinary differential equations (34-XX) 3 Abstract harmonic analysis (43-XX) 2 Combinatorics (05-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Associative rings and algebras (16-XX) 2 Nonassociative rings and algebras (17-XX) 2 $$K$$-theory (19-XX) 2 Topological groups, Lie groups (22-XX) 2 Measure and integration (28-XX) 2 Integral equations (45-XX) 2 Differential geometry (53-XX) 2 Manifolds and cell complexes (57-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Algebraic geometry (14-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Relativity and gravitational theory (83-XX)