The structure and amenability of \(\ell^P\)-Munn algebras
type: Item
instance of: scholarly article
title: The structure and amenability of \(\ell^P\)-Munn algebras
zbMATH Open document ID: 1222.43002
author: Jianyong Qiao
author: Sumit K. Garg
published in: Bulletin of the Iranian Mathematical Society
publication date: 2011-07-27T00:00:00Z
review text: In the present paper the authors introduce the notion of \({\mathcal {LM}}^p_I({\mathcal A})\), where \({\mathcal A}\) is a Banach space, \(I\) is an index set and \(1 \leq p<\infty\). They find necessary and sufficient conditions for \({\mathcal {LM}}^p_I({\mathcal A})\) to be a Banach algebra, and investigate the amenability of this Banach algebra. Applications to \(\ell^p (S)\) \((1 \leq p<\infty)\), where \(S\) is a Brandt semigroup, are also given.
Mathematics Subject Classification ID: 43A07
zbMATH DE Number: 5932931
zbMATH Keywords: Banach algebra
zbMATH Keywords: amenability
zbMATH Keywords: semigroup
reviewed by: Sh. A. Ayupov
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 5932931