On the \(\tau\)-compactness of products of \(\tau\)-measurable operators adjoint to semi-finite von Neumann algebras

DOI10.1007/s10958-019-04437-0OpenAlexW2966104789MaRDI QIDQ2331351

Airat M. Bikchentaev

Publication date: 29 October 2019

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-019-04437-0

zbMATH Keywords

von Neumann algebraHilbert spacepermutationlinear operatorelementary operatornilpotent\(\tau\)-compact operator\(\tau\)-measurable operatorsubmajorizationnormal semi-finite trace

Mathematics Subject Classification ID

Noncommutative measure and integration (46L51) Linear operators in (C^*)- or von Neumann algebras (47C15)

Related Items (1)

Tripotents in algebras: ideals and commutators

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Concerning the theory of \(\tau\)-measurable operators affiliated to a semifinite von Neumann algebra
• Integrable products of measurable operators
• On Hermitian operators \(X\) and \(Y\) meeting the condition \(-Y\leq X\leq Y\)
• On the closedness of the sum of ranges of operators \(A_k\) with almost compact products \(A_i^\ast A_j\)
• On idempotent \(\tau\)-measurable operators affiliated to a von Neumann algebra
• Commutation of projections and trace characterization on von Neumann algebras. II.
• The Peierls-Bogoliubov inequality in \(C^\ast\)-algebras and characterization of tracial functionals
• Zero or compact products of several Hankel operators.
• Compactness of products of Hankel operators on the polydisk and some product domains in \(\mathbb C^2\)
• Disjointly homogeneous Banach lattices and compact products of operators
• Notes on non-commutative integration
• Majorization for products of measurable operators
• On a property of \(L_p\) spaces on semifinite von Neumann algebras
• The continuity of multiplication for two topologies associated with a semifinite trace on von Neumann algebra
• Compact products of Hankel operators
• Generalized s-numbers of \(\tau\)-measurable operators
• Compact products of Toeplitz operators on the Dirichlet space of the unit ball
• Commutator inequalities associated with polar decompositions of \(\tau\)-measurable operators
• On normal \(\tau\)-measurable operators affiliated with semifinite von Neumann algebras
• On operator monotone and operator convex functions
• A non-commutative extension of abstract integration
• Noncommutative Kothe Duality
• Compact Product of Hankel and Toeplitz Operators on the Hardy space
• Non-commutative L^P-spaces
• On a conjecture of A. Bikchentaev

This page was built for publication: On the \(\tau\)-compactness of products of \(\tau\)-measurable operators adjoint to semi-finite von Neumann algebras