Convergence in measure and \(\tau \)-compactness of \(\tau \)-measurable operators, affiliated with a semifinite von Neumann algebra

DOI10.3103/S1066369X20050096zbMath1464.46067OpenAlexW3035071107MaRDI QIDQ2203297

Airat M. Bikchentaev

Publication date: 5 October 2020

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

Full work available at URL: https://doi.org/10.3103/s1066369x20050096

zbMATH Keywords

topology of convergence in measurevon Neumann algebraHilbert spacemeasurable operatornormal traceseries of operators\( \tau \)-compact operator

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Noncommutative measure and integration (46L51)

Related Items (2)

The topologies of local convergence in measure on the algebras of measurable operators ⋮ Invertibility of the operators on Hilbert spaces and ideals in \(C^*\)-algebras

Cites Work

• Local convergence in measure on semifinite von Neumann algebras. II.
• Notes on non-commutative integration
• The continuity of multiplication for two topologies associated with a semifinite trace on von Neumann algebra
• Generalized s-numbers of \(\tau\)-measurable operators
• Theory of operator algebras. II
• Local convergence in measure on semifinite von Neumann algebras
• Comparison of topologies on \(\ast\)-algebras of locally measurable operators
• When weak and local measure convergence implies norm convergence
• A non-commutative extension of abstract integration
• Integration Theorems For Gages and Duality for Unimodular Groups
• Some remarks on the convergence in measure and on a dominated sequence of operators measurable with respect to a semifinite von Neumann algebra
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