Isometries for unitarily invariant norms
type: Item
instance of: scholarly article
title: Isometries for unitarily invariant norms
zbMATH Open document ID: 1073.15022
author: Jor-Ting Chan
author: Chi-Kwong Li
author: Nung-Sing Sze
published in: Linear Algebra and its Applications
publication date: 2005-04-21T00:00:00Z
review text: After a brief survey of results and proof techniques in the study of isometries for unitarily invariant norms on real and complex rectangular matrices, the paper presents a characterization of a class of linear isometries without the linearity assumption. Some related results and problems like the invariant norms on other matrix and operator algebras and spaces, and isometry problems without the surjectivity assumption are finally discussed.
reviewed by: Mihail Voicu
Mathematics Subject Classification ID: 15A60
Mathematics Subject Classification ID: 15A04
Mathematics Subject Classification ID: 15A18
zbMATH DE Number: 2160180
zbMATH Keywords: isometry
zbMATH Keywords: unitarily invariant norms
zbMATH Keywords: singular values
zbMATH Keywords: complex rectangular matrices
MaRDI profile type: Publication
full work available at URL: j.laa.2004.05.017
OpenAlex ID: W2091173581
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DOI: 10.1016/J.LAA.2004.05.017
description: scientific article; zbMATH DE number 2160180