On \(\tau\)-compactness of products of \(\tau\)-measurable operators
type: Item
instance of: scholarly article
title: On \(\tau\)-compactness of products of \(\tau\)-measurable operators
zbMATH Open document ID: 1398.46050
published in: International Journal of Theoretical Physics
publication date: 2018-02-05T00:00:00Z
review text: Let \(\mathcal M\) be a von Neumann algebra of operators on a Hilbert space \(\mathcal H\), and \(\tau\) a faithful normal semifinite trace on \(\mathcal M\). Criteria for \(\tau\)-compactness of products of \(\tau\)-measurable operators are proved. Some applications to symmetric spaces of \(\tau\)-measurable operators are also obtained.
Mathematics Subject Classification ID: 46L51
Mathematics Subject Classification ID: 46L10
Mathematics Subject Classification ID: 46L30
Mathematics Subject Classification ID: 47B10
zbMATH DE Number: 6834004
zbMATH Keywords: Hilbert space
zbMATH Keywords: linear operator
zbMATH Keywords: von Neumann algebra
zbMATH Keywords: normal semifinite trace
zbMATH Keywords: \(\tau\)-measurable operator
zbMATH Keywords: \(\tau\)-compact operator
zbMATH Keywords: elementary operator
zbMATH Keywords: integrable operator
zbMATH Keywords: rearrangement
author: Airat Bikchentaev
reviewed by: Mixalis Anoussis
MaRDI profile type: Publication
full work available at URL: s10773-017-3318-6
OpenAlex ID: W2588764078
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DOI: 10.1007/S10773-017-3318-6
description: scientific article; zbMATH DE number 6834004