Complete order amenability of the Fourier algebra
type: Item
instance of: scholarly article
title: Complete order amenability of the Fourier algebra
zbMATH Open document ID: 1217.43001
author: Marzieh Shams Yousefi
author: Massoud Amini
author: Fereshteh Sady
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 2010-10-01T00:00:00Z
review text: The authors define complete order amenability and first-order cohomology groups for quantized Banach ordered algebras. Let \(G\) be a locally compact group. Then the Fourier algebra \(A(G)\) is a quantized Banach ordered algebra. It is proved that \(A(G)\) is complete order amenable if and only if \(A(G)\) is operator amenable. The authors also show that all complete order derivations from \(A(G)\) to any dual Banach completely ordered \(A(G)\)-bimodule are inner if and only if \(A(G)\) is operator amenable.
reviewed by: Tianxuan Miao
Mathematics Subject Classification ID: 43A07
Mathematics Subject Classification ID: 22D15
zbMATH DE Number: 5794224
zbMATH Keywords: Banach ordered algebras
zbMATH Keywords: Fourier algebras
zbMATH Keywords: operator amenability
zbMATH Keywords: complete order amenability
MaRDI profile type: Publication
full work available at URL: s13226-010-0028-7
OpenAlex ID: W2055775613
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DOI: 10.1007/S13226-010-0028-7
description: scientific article; zbMATH DE number 5794224