The weak Banach-Saks property in \(C^*\)-algebras
type: Item
instance of: scholarly article
title: The weak Banach-Saks property in \(C^*\)-algebras
zbMATH Open document ID: 0814.46043
author: Cho-Ho Chu
published in: Journal of Functional Analysis
publication date: 1995-06-12T00:00:00Z
review text: It is shown that a \(C^*\)-algebra \({\mathbf A}\) has the weak Banach-Saks property if and only if it is type I and the \(k\)th-derivative of its spectrum \(\widehat{{\mathbf A}}\) is empty for some \(k\). This is equivalent to the existence of a finite chain \(J_ 1\subset J_ 2\subset\cdots\subset J_ n\subset {\mathbf A}\) of closed ideals such that \(J_ 1, J_ 2/J_ 1,\dots, {\mathbf A}/J_ n\) are all dual \(C^*\)- algebras.
Mathematics Subject Classification ID: 46L05
Mathematics Subject Classification ID: 46B22
zbMATH DE Number: 599759
zbMATH Keywords: \(C^*\)-algebra
zbMATH Keywords: Banach-Saks property
zbMATH Keywords: closed ideals
zbMATH Keywords: dual \(C^*\)- algebras
MaRDI profile type: Publication
full work available at URL: jfan.1994.1043
OpenAlex ID: W1985715220
DOI: 10.1006/JFAN.1994.1043
description: scientific article; zbMATH DE number 599759