Isometric copies of \(c_0\) and \(\ell^{\infty}\) in duals of Banach spaces
type: Item
instance of: scholarly article
title: Isometric copies of \(c_0\) and \(\ell^{\infty}\) in duals of Banach spaces
zbMATH Open document ID: 0955.46011
author: P. N. Dowling
published in: Journal of Mathematical Analysis and Applications
publication date: 2000-08-28T00:00:00Z
review text: The author gives a simpler proof of the main result in another paper (yet to appear at the time of publication of the present one) which is concerned with the consequences of an ``asymptotically isometric'' copy of \(c_0\) being embedded in the dual of a Banach space. In particular, it is shown that this condition is equivalent to the existence of such an isometric copy of \(c_0\) and an isometric copy of \(\ell^\infty\) in the dual space. Moreover, this condition implies the existence of an isometric copy of \(\ell^\infty\) in the bidual as well.
Mathematics Subject Classification ID: 46B25
zbMATH DE Number: 1441398
zbMATH Keywords: dual Banach spaces
zbMATH Keywords: asymptotically isometric
zbMATH Keywords: isometric copy
reviewed by: James R. Holub
MaRDI profile type: Publication
full work available at URL: jmaa.2000.6714
OpenAlex ID: W2079101354
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DOI: 10.1006/JMAA.2000.6714
description: scientific article; zbMATH DE number 1441398