Linear-topological classification of separable \(L_p\)-spaces associated with von Neumann algebras of type I
type: Item
instance of: scholarly article
title: Linear-topological classification of separable \(L_p\)-spaces associated with von Neumann algebras of type I
zbMATH Open document ID: 0962.46046
DOI: 10.1007/BF02810584
published in: Israel Journal of Mathematics
publication date: 2001-06-13T00:00:00Z
review text: The author classifies all separable \(L_p\)-spaces, with finite positive \(p\), associated with von Neumann algebras of type I. In particular, any \(L_p\)-space associated with an infinite-dimensional von Neumann algebra is isomorphic with one of the spaces: \(\ell_p\), \(C_p\), or \(S_p\). More detailed classification is given for \(p\neq 2\) and \(p\neq 1\), for \(L_p\)-spaces associated with an infinite-dimensional von Neumann algebra of type I.
Mathematics Subject Classification ID: 46L52
Mathematics Subject Classification ID: 46L35
zbMATH DE Number: 1436102
zbMATH Keywords: separable \(L_p\)-spaces
zbMATH Keywords: von Neumann algebras of type I
zbMATH Keywords: classification
author: Fedor Sukochev
reviewed by: Pawel Kruszynski
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1436102