Numerical radius preserving linear maps on Banach algebras
type: Item
instance of: scholarly article
zbMATH Open document ID: 1285.47041
author: Fatemeh Golfarshchi
author: Ali Asghar Khalilzadeh
publication date: 2013-12-20T00:00:00Z
full work available at URL: index.html
Mathematics Subject Classification ID: 47B48
Mathematics Subject Classification ID: 46H05
Mathematics Subject Classification ID: 47C15
Mathematics Subject Classification ID: 47A10
zbMATH DE Number: 6241493
zbMATH Keywords: Banach algebra
zbMATH Keywords: numerical radius preserving
zbMATH Keywords: Jordan isomorphism
MaRDI profile type: Publication
OpenAlex ID: W2058025007
DOI: 10.12732/IJPAM.V88I2.6
title: Numerical radius preserving linear maps on Banach algebras
published in: International Journal of Pure and Applied Mathematics
review text: In the literature, linear and nonlinear preservers of the numerical range and numerical radius have been studied extensively. The authors of the paper under review obtain some information concerning numerical radius linear preservers. They show, in particular, that if \(A\) and \(B\) are two unital commutative complex Banach algebras and \(\varphi:A\to B\) is a unital surjective linear map preserving the numerical radius, then \(\varphi\) is an isomorphism.
reviewed by: Abdellatif Bourhim
description: scientific article; zbMATH DE number 6241493