Spectrum and commutativity preserving mappings on \(H _{2}\)
type: Item
instance of: scholarly article
title: Spectrum and commutativity preserving mappings on \(H _{2}\)
zbMATH Open document ID: 1026.15017
DOI: 10.1016/S0024-3795(02)00585-2
author: Tatjana Petek
author: Humberto Sarria
published in: Linear Algebra and its Applications
publication date: 2003-05-04T00:00:00Z
review text: The description of continuous (linear) mapping on the real symmetric or complex Hermitian \(2\times 2\)-matrices, preserving the spectrum and commutativity properties, is given. The paper is based on the previous works of \textit{T. Petek} and \textit{P. Šemrl} [ibid. 269, 33-46 (1998; Zbl 0891.15001)] and of \textit{T. Petek} [ibid. 290, 167-191 (1999; Zbl 0930.15027)], related to the case of \(3\times 3\)-matrices.
Mathematics Subject Classification ID: 15B57
Mathematics Subject Classification ID: 15A27
Mathematics Subject Classification ID: 15A18
zbMATH DE Number: 1903592
zbMATH Keywords: commutativity
zbMATH Keywords: spectrum preserving mapping
zbMATH Keywords: Hermitian matrices
reviewed by: A. A. Bogush
MaRDI profile type: Publication
cites work: Mappings preserving spectrum and commutativity on Hermitian matrices
cites work: Characterization of Jordan homomorphism on \(M_ n\) using preserving properties
description: scientific article; zbMATH DE number 1903592