Weak amenability of Banach algebras on locally compact groups
type: Item
instance of: scholarly article
title: Weak amenability of Banach algebras on locally compact groups
zbMATH Open document ID: 0890.46036
published in: Journal of Functional Analysis
publication date: 1998-06-29T00:00:00Z
review text: The paper is a contribution to the investigations concerning the implications of amenability for algebras over locally compact groups \(G\). This question is studied for \(M(G)\), the measure algebra of \(G\), for left inverted subspaces of \(L^\infty(G)\), especially spaces of almost periodic and weakly almost periodic functions, for \(L^1(G)\), and for the von Neumann algebra generated by the left regular representations of \(G\). The outcome is a series of results connecting -- by necessary or sufficient conditions -- weak amenability properties of these algebras and properties of \(G\) and its subgroups.
Mathematics Subject Classification ID: 46H05
Mathematics Subject Classification ID: 22D15
zbMATH DE Number: 1006674
zbMATH Keywords: amenability
zbMATH Keywords: algebras over locally compact groups
zbMATH Keywords: von Neumann algebra
zbMATH Keywords: left regular representation
author: A. T.-M. Lau
author: R. J. Loy
reviewed by: Gerhard Garske
MaRDI profile type: Publication
full work available at URL: jfan.1996.3002
OpenAlex ID: W1997694252
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DOI: 10.1006/JFAN.1996.3002
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