Commuting mappings of generalized matrix algebras
type: Item
instance of: scholarly article
title: Commuting mappings of generalized matrix algebras
zbMATH Open document ID: 1206.15016
published in: Linear Algebra and its Applications
publication date: 2010-11-05T00:00:00Z
review text: W. S. Cheung initiated the study of commuting mappings of matrix algebras, by determining the class of triangular algebras for which every commuting linear mapping is proper. This pacer extends the main results obtained by \textit{W. S. Cheung} [J. Lond. Math. Soc., II. Ser. 63, No. 1, 117--127 (2001; Zbl 1014.16035)] to the case of generalized matrix algebras, an is devoted to the study of commuting mappings of generalized matrix algebras. The authors describe the general form of an arbitrary commuting mapping on generalizee matrix algebras and give some sufficient conditions which enable the commuting mappings to be proper. A number of applications related to commuting mappings are also presented.
reviewed by: Rodica Covaci
Mathematics Subject Classification ID: 15A27
Mathematics Subject Classification ID: 16W25
Mathematics Subject Classification ID: 15A78
Mathematics Subject Classification ID: 47L35
zbMATH DE Number: 5811035
zbMATH Keywords: commuting mapping
zbMATH Keywords: generalized matrix algebra
author: Zhankui Xiao
author: Feng Wei
MaRDI profile type: Publication
full work available at URL: j.laa.2010.08.002
OpenAlex ID: W2592833817
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DOI: 10.1016/J.LAA.2010.08.002
description: scientific article; zbMATH DE number 5811035