Distance entre éléments d'un semi-groupe dans une algébre de Banach. (Distance between the elements of a semigroup in a Banach algebra)
type: Item
instance of: scholarly article
title: Distance entre éléments d'un semi-groupe dans une algébre de Banach. (Distance between the elements of a semigroup in a Banach algebra)
zbMATH Open document ID: 1032.47022
published in: Journal of Functional Analysis
publication date: 2003-03-26T00:00:00Z
review text: Consider a semigroup \((a^t)_{t>0}\) in a Banach algebra. Let \(n\) be a positive integer. The best possible constant \(C(n)\) is obtained such that if \(\limsup_{t\to 0^+}\|a^{t}-a^{t(n+1)}\|< C(n)\), then either \(a^t = 0\) for \(t>0\), or the closed algebra \(A\) generated by the semigroup \((a^t)\) is unital and there exists \(u\in A\) such that \(a^t = e^{tu}\) for \(t > 0\).
Mathematics Subject Classification ID: 47D06
Mathematics Subject Classification ID: 46H05
zbMATH DE Number: 1888345
zbMATH Keywords: Banach algebras
zbMATH Keywords: semigroups
author: Jean Esterle
author: Abdelkader Mokhtari
reviewed by: Cătălin Badea
MaRDI profile type: Publication
full work available at URL: jfan.2002.3963
OpenAlex ID: W2086871301
cites work: Analytic functions of several Banach algebra elements
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DOI: 10.1006/JFAN.2002.3963
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description: scientific article; zbMATH DE number 1888345