On the continuity of the map \(\phi\) \(\to | \phi |\) from the predual of a \(W^*\)-algebra
type: Item
instance of: scholarly article
title: On the continuity of the map \(\phi\) \(\to | \phi |\) from the predual of a \(W^*\)-algebra
zbMATH Open document ID: 0584.46050
DOI: 10.1016/0022-1236(84)90055-7
author: Hideki Kosaki
published in: Journal of Functional Analysis
publication date: 1984-01-01T00:00:00Z
review text: Let \(\phi\),\(\psi\) be elements of the predual of a \(W^*\)-algebra. Then \[ \| | \phi | -| \psi | \| \leq (2\| \phi +\psi \| \| \phi -\psi \|)^{1/2}. \] This estimate is best possible. The proof uses the theory of noncommutative \(L^ p\)-spaces.
Mathematics Subject Classification ID: 46L10
Mathematics Subject Classification ID: 46L51
Mathematics Subject Classification ID: 46L53
Mathematics Subject Classification ID: 46L54
zbMATH DE Number: 3935767
zbMATH Keywords: predual of a \(W^*\)-algebra
zbMATH Keywords: noncommutative \(L^ p\)-spaces
MaRDI profile type: Publication
full work available at URL: 0022-1236(84)90055-7
OpenAlex ID: W1986290658
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description: scientific article; zbMATH DE number 3935767