Order structure of the Figà-Talamanca-Herz algebra
type: Item
instance of: scholarly article
title: Order structure of the Figà-Talamanca-Herz algebra
zbMATH Open document ID: 1219.43002
DOI: 10.5402/2011/531023
author: Marzieh Shams Yousefi
author: Massoud Amini
author: Fereshteh Sady
published in: ISRN Geometry
publication date: 2011-07-22T00:00:00Z
review text: Summary: We study the interplay between the order structure and the \(p\)-operator space structure of the Figà-Talamanca-Herz algebra \(A_p(G)\) of a locally compact group \(G\). We show that for amenable groups, an order and algebra isomorphism of Figà-Talamanca-Herz algebras yields an isomorphism or anti-isomorphism of the underlying groups. We also give a bound for the norm of a \(p\)-completely positive linear map from a Figà-Talamanca-Herz algebra to its dual space.
Mathematics Subject Classification ID: 43A25
Mathematics Subject Classification ID: 43A07
zbMATH DE Number: 5931061
Wikidata QID: Q58689649
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.5402/2011/531023
OpenAlex ID: W1996574503
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description: scientific article; zbMATH DE number 5931061