Harmonic analysis on Banach modules. I: General properties
type: Item
instance of: scholarly article
title: Harmonic analysis on Banach modules. I: General properties
zbMATH Open document ID: 0840.43005
author: Christian Datry
author: Gilbert L. Muraz
published in: Bulletin des Sciences Mathématiques
publication date: 1996-07-01T00:00:00Z
review text: In this paper the authors develop a general theory of Banach modules. The relationship between \(L' (G)\)-modules and \(G\)-modules is presented. Among other results the authors prove that if \(\varphi : G \to X\) is bounded and \(\Delta_s \varphi = \varphi_s - \varphi\) is uniformly continuous for all \(s \in G\), then \(\varphi\) is uniformly continuous.
Mathematics Subject Classification ID: 43A20
Mathematics Subject Classification ID: 43A22
zbMATH DE Number: 818397
zbMATH Keywords: \(L' (G)\)-modules
zbMATH Keywords: \(G\)-modules
zbMATH Keywords: Banach modules
reviewed by: Bolis Basit
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 818397