Symbolic calculus on a Banach algebra of continuous functions
type: Item
instance of: scholarly article
title: Symbolic calculus on a Banach algebra of continuous functions
zbMATH Open document ID: 0813.46039
author: Osamu Hatori
published in: Journal of Functional Analysis
publication date: 1995-05-28T00:00:00Z
review text: The author studies the symbolic calculus on Banach algebras of continuous functions and related spaces. In particular, functions operating on the real part of the algebra are considered. The main tool in this paper is an ultraseparation argument. As a consequence he shows for example, that \(t^ p\) on \([0,1)\) for any \(p\) with \(0<p<1\) does not operate on the real part of a Banach function algebra on a compact Hausdorff space unless the algebra contains every continuous function.
Mathematics Subject Classification ID: 46H30
Mathematics Subject Classification ID: 46J10
zbMATH DE Number: 515229
zbMATH Keywords: symbolic calculus on Banach algebras of continuous functions
zbMATH Keywords: ultraseparation argument
zbMATH Keywords: Banach function algebra
MaRDI profile type: Publication
full work available at URL: jfan.1993.1090
OpenAlex ID: W2052959806
DOI: 10.1006/JFAN.1993.1090
Recommended article: Q4289193
Recommended article: Functional calculus for certain Banach function algebras
Recommended article: Q3971210
Recommended article: Le calcul symbolique dans certaines algèbres de type Sobolev
Recommended article: An optimal symbolic calculus on Besov algebras
Recommended article: Regularity of the symbolic calculus in Besov algebras
Recommended article: Functional calculus for Banach function algebras and Banach function spaces of continuous functions vanishing at infinity
Recommended article: Q5615560
Recommended article: A Symbolic Calculus for Analytic Carleman Classes
Recommended article: A functional calculus for Banach PI-algebras
description: scientific article; zbMATH DE number 515229