Two classes of \(\tau\)-measurable operators affiliated with a von Neumann algebra
type: Item
instance of: scholarly article
title: Two classes of \(\tau\)-measurable operators affiliated with a von Neumann algebra
zbMATH Open document ID: 1396.46049
DOI: 10.3103/S1066369X17010091
published in: Russian Mathematics
publication date: 2018-02-14T00:00:00Z
review text: Let \(\mathfrak{M}\) be a von Neumann algebra of operators on a Hilbert space \(\mathfrak{H}\), \(\tau\) be a faithful normal semifinite trace on \(\mathfrak{M}\), and \(\widetilde{\mathfrak{M}}\) be the \(*\)-algebra of all \(\tau\)-measurable operators. The author defines two classes of \(\tau\)-measurable operators and investigates their properties. Furthermore, the author establishes some new inequalities for rearrangements of operators from these classes.
reviewed by: Ghadir Sadeghi
Mathematics Subject Classification ID: 46L51
Mathematics Subject Classification ID: 47A63
zbMATH DE Number: 6838078
zbMATH Keywords: von Neumann algebra
zbMATH Keywords: \(\tau\)-measurable operator
zbMATH Keywords: rearrangement
zbMATH Keywords: hyponormal operator
zbMATH Keywords: quasinormal operator
zbMATH Keywords: paranormal operator
author: Airat Bikchentaev
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 6838078