Derivations decreasing the spectral radius
type: Item
instance of: scholarly article
title: Derivations decreasing the spectral radius
zbMATH Open document ID: 0818.46049
DOI: 10.1007/BF01207463
author: Matej Brešar
published in: Archiv der Mathematik
publication date: 1993-11-15T00:00:00Z
review text: The following theorem is proved: Let \(A\) be a unital Banach algebra and let \(d\) be an inner derivation of \(A\). Suppose that for some positive number \(M\) and for all \(x\in A\) the inequality \(r(d(x))\leq Mr(x)\) holds. Then \(d\) maps \(A\) into \(\text{rad}(A)\).
Mathematics Subject Classification ID: 46H05
Mathematics Subject Classification ID: 47A10
zbMATH DE Number: 446280
zbMATH Keywords: unital Banach algebra
zbMATH Keywords: inner derivation
reviewed by: Srinivasa Swaminathan
MaRDI profile type: Publication
cites work: Derivations, commutators and the radical
full work available at URL: https://doi.org/10.1007/bf01207463
OpenAlex ID: W2042776529
description: scientific article; zbMATH DE number 446280