Finite dimensional invariant subspaces for algebras of linear operators and amenable Banach algebras
type: Item
instance of: scholarly article
title: Finite dimensional invariant subspaces for algebras of linear operators and amenable Banach algebras
zbMATH Open document ID: 1361.46040
author: Rasoul Nasr-Isfahani
author: Mehdi Nemati
author: Somayeh Shahmoradi
published in: Linear Algebra and its Applications
publication date: 2016-12-29T00:00:00Z
review text: Let \( A\) be a Banach algebra and \(\phi\) be a character on \( A\). The authors consider \(P_1( A, \phi)\), the set of all \(\phi\)-maximal elements of \(A\), and also representations of this semigroup on separated locally convex vector spaces. They study a finite-dimensional property in terms of amenability of the closed linear span of \(P_1( A, \phi)\). They present some applications concerning the group algebra, the measure algebra and the generalized Fourier algebra of a locally compact group.
reviewed by: Akram Yousofzadeh
Mathematics Subject Classification ID: 46H05
Mathematics Subject Classification ID: 43A07
Mathematics Subject Classification ID: 43A20
zbMATH DE Number: 6668932
zbMATH Keywords: Banach algebra
zbMATH Keywords: character amenable
zbMATH Keywords: finite dimensional invariant subspace
zbMATH Keywords: fixed point property
zbMATH Keywords: locally compact group
zbMATH Keywords: maximal element
MaRDI profile type: Publication
full work available at URL: j.laa.2016.08.028
OpenAlex ID: W2515926298
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DOI: 10.1016/J.LAA.2016.08.028
description: scientific article; zbMATH DE number 6668932