The trace and integrable commutators of the measurable operators affiliated to a semifinite von Neumann algebra
type: Item
instance of: scholarly article
title: The trace and integrable commutators of the measurable operators affiliated to a semifinite von Neumann algebra
author: Airat Bikchentaev
published in: Siberian Mathematical Journal
publication date: 2024-09-25T00:00:00Z
Mathematics Subject Classification ID: 46L10
Mathematics Subject Classification ID: 46L51
Mathematics Subject Classification ID: 47Bxx
Mathematics Subject Classification ID: 47Axx
zbMATH DE Number: 7918226
zbMATH Keywords: Hilbert space
zbMATH Keywords: von Neumann algebra
zbMATH Keywords: normal trace
zbMATH Keywords: measurable operator
zbMATH Keywords: commutator
zbMATH Keywords: self-commutator
zbMATH Keywords: idempotent
MaRDI profile type: Publication
cites work: Q4097043
cites work: On matrices of trace zero
cites work: Q3961338
cites work: A quantitative version of the commutator theorem for zero trace matrices
cites work: The Hilbert–Schmidt version of the commutator theorem for zero trace matrices
cites work: COASSOCIATIVE LIE ALGEBRAS
cites work: Asymptotically Optimal Multi-Paving
cites work: Matrices with zero trace as commutators of nilpotents
cites work: Structure of commutators of operators
cites work: Commutators in \(C^\ast\)-algebras and traces
cites work: On the Diagonal of an Operator
cites work: Which Operators are the Self-Commutators of Compact Operators?
cites work: On Zero-Diagonal Operators and Traces
cites work: An Intrinsic Characterization for Zero-Diagonal Operators
cites work: Concerning the theory of \(\tau\)-measurable operators affiliated to a semifinite von Neumann algebra. II
cites work: Essentially invertible measurable operators affiliated to a semifinite von Neumann algebra and commutators
cites work: Q3567968
cites work: Derivations on Murray–von Neumann algebras
cites work: Ring derivations of Murray-von Neumann algebras
cites work: Convergence of integrable operators affiliated to a finite von Neumann algebra
cites work: Trace and commutators of measurable operators affiliated to a von Neumann algebra
cites work: Differences and commutators of idempotents in \(C^*\)-algebras
cites work: Traces of commutators of integral operators
cites work: The Fugledge Commutativity Theorem Modulo the Hilbert-Schmidt Class and Generating Functions for Matrix Operators. I
cites work: On zero-trace commutators
cites work: Some Trace Class Commutators of Trace Zero
cites work: On Commutators of Bounded Matrices
cites work: Theory of operator algebras I.
cites work: Generalized s-numbers of \(\tau\)-measurable operators
cites work: Q5571194
cites work: Q3955929
cites work: Linear functional equations. Operator approach. Transl. from the Russian by V. Muzafarov a. A. Iacob
cites work: Q5749818
cites work: Noncommutative Kothe Duality
cites work: Representation of tripotents and representations via tripotents
cites work: Concerning the theory of \(\tau\)-measurable operators affiliated to a semifinite von Neumann algebra
cites work: Minimality of convergence in measure topologies on finite von Neumann algebras
cites work: Fuglede-Putnam theorem for locally measurable operators
cites work: Q5258123
cites work: Q5178661
cites work: On idempotent \(\tau\)-measurable operators affiliated to a von Neumann algebra
cites work: Q6139598
DOI: 10.1134/S0037446624030030
description: scientific article; zbMATH DE number 7918226