The ball generated property in operator spaces
type: Item
instance of: scholarly article
title: The ball generated property in operator spaces
zbMATH Open document ID: 1026.46012
DOI: 10.1016/S0019-3577(02)80002-7
author: Sudeshna Basu
published in: Indagationes Mathematicae. New Series
publication date: 2003-12-16T00:00:00Z
review text: A real Banach space \(X\) is said to have the ball generated property (BGP) if every closed, bounded and convex set in \(X\) is the intersection of finite union of balls. In this paper, the author shows that this property is stable under \(c_0\) and \(l_p\)-sums for \(1<p<\infty\). It is also shown that the space of operators \(L(X,C(K))\) has the BGP if and only if \(X^*\) has the BGP and \(K\) is a finite set.
reviewed by: T.S.S.R.K. Rao
Mathematics Subject Classification ID: 46B28
zbMATH DE Number: 1893637
zbMATH Keywords: ball generated property
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1893637