Ideals with bounded approximate identities in the Fourier algebras on homogeneous spaces
type: Item
instance of: scholarly article
title: Ideals with bounded approximate identities in the Fourier algebras on homogeneous spaces
zbMATH Open document ID: 1260.43006
author: N. Shravan Kumar
published in: Indagationes Mathematicae. New Series
publication date: 2013-01-03T00:00:00Z
review text: The author studies closed ideals in the Fourier algebra \(A(G/K)\) of an amenable homogeneous space \(G/K\). Among the results, the author characterizes the closed ideals with bounded approximate identities in the Fourier algebras of an amenable homogeneous space, extending a result of [\textit{B. Forrest} et al., Funct. Anal. 203, No. 1, 286--304 (2003; Zbl 1039.46042)]. He also studies \(A_0(G/K)\), the closure of \(A(G/K)\) with respect to the completely bounded multiplier norm, and extends some of his results to the Figà-Talamanca-Herz algebra \(A^p(G/K)\) of the homogeneous space \(G/K\).
reviewed by: Hung Le Pham
Mathematics Subject Classification ID: 43A15
Mathematics Subject Classification ID: 46J20
Mathematics Subject Classification ID: 43A85
zbMATH DE Number: 6121456
zbMATH Keywords: homogeneous space
zbMATH Keywords: Fourier algebra
zbMATH Keywords: Figà-Talamanca-Herz algebra
zbMATH Keywords: completely bounded multiplier
zbMATH Keywords: \(p\)-operator space
zbMATH Keywords: spectral synthesis
zbMATH Keywords: coset ring
zbMATH Keywords: approximate identity
zbMATH Keywords: amenability
MaRDI profile type: Publication
full work available at URL: j.indag.2012.06.002
OpenAlex ID: W2094941435
DOI: 10.1016/J.INDAG.2012.06.002
description: scientific article; zbMATH DE number 6121456