Real structure in noncommutative \(L_p\)-spaces
type: Item
instance of: scholarly article
title: Real structure in noncommutative \(L_p\)-spaces
author: Sofya S. Masharipova
author: Shukhrat M. Usmanov
published in: Rocky Mountain Journal of Mathematics
publication date: 2024-08-30T00:00:00Z
review text: The paper is devoted to a real counterpart of noncommutative \(L_p\)-spaces associated with von Neumann algebra (they use the term \(W^\ast\)-algebras). The authors define the real valued noncommutative \(L_p\)-spaces associated with semifinite and infinite \(W^\ast\)-algebras and describe their isomorphisms. Also they prove a reduction theorem which approximates real noncommutative \(L_p\)-spaces associated with \(W^\ast\)-algebras of type III by an increasing sequence of real noncommutative \(L_p\)-spaces associated with finite real \(W^\ast\)-algebras
reviewed by: Sh. A. Ayupov
Mathematics Subject Classification ID: 46L10
Mathematics Subject Classification ID: 46L52
zbMATH DE Number: 7903775
zbMATH Keywords: noncommutative \(L_p\)-spaces
zbMATH Keywords: real-valued Banach spaces
zbMATH Keywords: \(W^\ast\)-algebras
zbMATH Keywords: real \(W^\ast\)-algebras
MaRDI profile type: Publication
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DOI: 10.1216/RMJ.2024.54.833
description: scientific article; zbMATH DE number 7903775