Closed ideals of finite codimension in regular selfadjoint Banach algebras
type: Item
instance of: scholarly article
title: Closed ideals of finite codimension in regular selfadjoint Banach algebras
zbMATH Open document ID: 0681.46048
DOI: 10.1016/0022-1236(89)90070-0
author: Yanyan Li
published in: Journal of Functional Analysis
publication date: 1989-01-01T00:00:00Z
review text: The author gives a generalization of a classic theorem of Gleason-Kahane- Zelazko. He proved in particular that if M is a closed subspace of codimension n in A and if Sp A is \(\sigma\)-compact and every point \(s\in Sp A\) is a \(G_{\delta}\)-set and for any \(x\in M\), \(\hat x(s)=s(x)\), \(s\in Sp A\) has n distinct zeros in Sp A, then there exists n-distinct common zeros of M in Sp A.
Mathematics Subject Classification ID: 46H05
zbMATH DE Number: 4115310
reviewed by: Bolis Basit
MaRDI profile type: Publication
full work available at URL: 0022-1236(89)90070-0
OpenAlex ID: W2105269303
cites work: A generalization of the Gleason-Kahane-Zelazko theorem
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cites work: Q5556050
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cites work: Ideals of Finite Codimension in C[ 0, 1 ] and L 1 (R)
description: scientific article; zbMATH DE number 4115310