Completely bounded disjointness preserving operators between Fourier algebras
type: Item
instance of: scholarly article
title: Completely bounded disjointness preserving operators between Fourier algebras
zbMATH Open document ID: 1225.43004
published in: Journal of Mathematical Analysis and Applications
publication date: 2011-07-18T00:00:00Z
review text: The author characterizes surjective completely bounded disjointness preserving linear operators on Fourier algebras of locally compact amenable groups. He shows that such operators are given by weighted homomorphisms induced by piecewise affine proper maps. Moreover, uniqueness conditions for the decomposition of such operators in some special cases are discussed. Finally, the canonical cb-extension of such operators is proved.
reviewed by: H. A. Ghany
Mathematics Subject Classification ID: 43A70
Mathematics Subject Classification ID: 47A05
Mathematics Subject Classification ID: 47C05
Mathematics Subject Classification ID: 43A25
Mathematics Subject Classification ID: 47B48
Mathematics Subject Classification ID: 46J10
zbMATH DE Number: 5925569
zbMATH Keywords: completely bounded operator
zbMATH Keywords: disjointness preserving operator
zbMATH Keywords: Fourier algebra
zbMATH Keywords: piecewise affine map
author: Ying-Fen Lin
MaRDI profile type: Publication
full work available at URL: j.jmaa.2011.04.062
OpenAlex ID: W2069210633
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DOI: 10.1016/J.JMAA.2011.04.062
description: scientific article; zbMATH DE number 5925569