Commutator inequalities associated with polar decompositions of \(\tau\)-measurable operators

DOI10.3103/S1066369X14070056zbMath1321.47017OpenAlexW1973374576MaRDI QIDQ2262910

D. Dauitbek, N. E. Tokmagambetov, Kanat S. Tulenov

Publication date: 17 March 2015

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x14070056

zbMATH Keywords

von Neumann algebranorm inequalitypolar decomposition\(\tau\)-measurable operatornoncommutative symmetric space

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) General theory of von Neumann algebras (46L10) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Commutators, derivations, elementary operators, etc. (47B47) Positive linear operators and order-bounded operators (47B65) Linear operators in (C^*)- or von Neumann algebras (47C15)

Related Items (3)

Trace and commutators of measurable operators affiliated to a von Neumann algebra ⋮ On the \(\tau\)-compactness of products of \(\tau\)-measurable operators adjoint to semi-finite von Neumann algebras ⋮ On some inequalities of τ-measurable operators

Cites Work

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• Commutativity of operators and characterization of traces on \(C^\ast\)-algebras
• Commutativity of projections and characterization of traces on von Neumann algebras
• Commutation of projections and trace characterization on von Neumann algebras. II.
• Norm estimates related to self-commutators
• Non-commutative Banach function spaces
• Fully symmetric operator spaces
• Generalized s-numbers of \(\tau\)-measurable operators
• Minimality of convergence in measure topologies on finite von Neumann algebras
• Commutator inequalities associated with the polar decomposition
• Symmetric norms and spaces of operators

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