The Kadeč-Pełczyński dichotomy for the predual of a von Neumann algebra
type: Item
instance of: scholarly article
title: The Kadeč-Pełczyński dichotomy for the predual of a von Neumann algebra
zbMATH Open document ID: 0809.46065
author: Alain Bélanger
published in: Journal of Mathematical Analysis and Applications
publication date: 1993-09-05T00:00:00Z
review text: Akemann's criterion of weak compactness in the predual of a von Neumann algebra (denoted \({\mathcal M}_ *\)) is improved. Then it is shown that a non-reflexive subspace of \({\mathcal M}_ *\) contains a subspace isomorphic to \(\ell_ 1\) which is complemented in \({\mathcal M}_ *\).
Mathematics Subject Classification ID: 46L10
Mathematics Subject Classification ID: 46B25
zbMATH DE Number: 399104
zbMATH Keywords: complemented subspace
zbMATH Keywords: Kadeč-Pełczyński dichotomy
zbMATH Keywords: Akemann's criterion
zbMATH Keywords: weak compactness in the predual of a von Neumann algebra
MaRDI profile type: Publication
full work available at URL: jmaa.1993.1252
OpenAlex ID: W2001600342
DOI: 10.1006/JMAA.1993.1252
description: scientific article; zbMATH DE number 399104