Weakly compact orthogonality preservers on C\(^*\)-algebras
type: Item
instance of: scholarly article
title: Weakly compact orthogonality preservers on C\(^*\)-algebras
zbMATH Open document ID: 1244.47031
author: Francisco J. Fernández-Polo
author: Jorge J. Garcés
author: Antonio M. Peralta
published in: Mathematische Zeitschrift
publication date: 2012-05-08T00:00:00Z
review text: Elements \(a\) and \(b\) from a \(C^*\)-algebra are said to be orthogonal if \(ab^* = b^*a=0\). An operator \(T\) between \(C^*\)-algebras is said to be orthogonality preserving if \(T(a)\) and \(T(b)\) are orthogonal whenever \(a\) and \(b\) are orthogonal. The main result of the present paper describes the form of a weakly compact orthogonality preserving operator \(T\) between \(C^*\)-algebras (or \(JB^*\)-triples).
reviewed by: Matej Brešar
Mathematics Subject Classification ID: 47B49
Mathematics Subject Classification ID: 47B48
Mathematics Subject Classification ID: 46L99
zbMATH DE Number: 6031810
zbMATH Keywords: orthogonality preserver
zbMATH Keywords: \(C^*\)-algebra
zbMATH Keywords: \(JB^*\)-triple
MaRDI profile type: Publication
full work available at URL: s00209-010-0820-4
OpenAlex ID: W1984728968
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DOI: 10.1007/S00209-010-0820-4
description: scientific article; zbMATH DE number 6031810