The algebra of thin measurable operators is directly finite

DOI10.33205/CMA.1181495arXiv2205.12525OpenAlexW4315707100MaRDI QIDQ6167435

Airat M. Bikchentaev

Publication date: 10 July 2023

Published in: Constructive Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.12525

zbMATH Keywords

von Neumann algebraHilbert spaceidempotentsemifinite tracesingular value function\( \tau \)-compact operator\( \tau \)-measurable operator

Mathematics Subject Classification ID

Noncommutative measure and integration (46L51) Noncommutative function spaces (46L52)

Related Items (1)

Maximal extensions of a linear functional

Cites Work

• Concerning the theory of \(\tau\)-measurable operators affiliated to a semifinite von Neumann algebra
• On idempotent \(\tau\)-measurable operators affiliated to a von Neumann algebra
• Notes on non-commutative integration
• Generalized s-numbers of \(\tau\)-measurable operators
• Essentially invertible measurable operators affiliated to a semifinite von Neumann algebra and commutators
• On \(\tau \)-essentially invertibility of \(\tau \)-measurable operators
• Normed Köthe spaces: a non-commutative viewpoint
• Local convergence in measure on semifinite von Neumann algebras
• On normal \(\tau\)-measurable operators affiliated with semifinite von Neumann algebras
• On the algebra of measurable operators for a general \(AW^ *\)-algebra. II
• A non-commutative extension of abstract integration
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The algebra of thin measurable operators is directly finite