The Banach spaces \(\ell _{\infty }(c_{0})\) and \(c_{0}(\ell _{\infty })\) are not isomorphic
type: Item
instance of: scholarly article
title: The Banach spaces \(\ell _{\infty }(c_{0})\) and \(c_{0}(\ell _{\infty })\) are not isomorphic
zbMATH Open document ID: 1203.46009
author: Pilar Cembranos
author: José Mendoza
published in: Journal of Mathematical Analysis and Applications
publication date: 2010-05-10T00:00:00Z
review text: Something stronger than the title is proved: the first space is not even isomorphic to a quotient of the second. Details of the corresponding results for all \(\ell_p\) sums will be presented by the authors in a forthcoming paper [\textit{P.\,Cembranos} and \textit{J.\,Mendoza}, ``On the mutually non-isomorphic \(\ell _p (\ell _q )\) spaces'', in press (per bibl.)].
Mathematics Subject Classification ID: 46B25
Mathematics Subject Classification ID: 46B03
zbMATH DE Number: 5706216
zbMATH Keywords: sequence spaces
zbMATH Keywords: isomorphism
MaRDI profile type: Publication
full work available at URL: j.jmaa.2010.01.057
OpenAlex ID: W1989479726
cites work: Q5317928
cites work: Q3250839
cites work: On the mutually non isomorphic ℓp(ℓq) spaces
cites work: Q3329946
cites work: Q4136031
cites work: Q4836063
DOI: 10.1016/J.JMAA.2010.01.057
description: scientific article; zbMATH DE number 5706216