Reflexivity in Banach lattices
type: Item
instance of: scholarly article
title: Reflexivity in Banach lattices
zbMATH Open document ID: 0817.46021
DOI: 10.1007/BF01202072
author: Antonio Fernández
author: Santiago Díaz
published in: Archiv der Mathematik
publication date: 1995-07-17T00:00:00Z
review text: We prove that a Banach lattice \(X\) is reflexive if and only if \(X\) does not contain any subspace isomorphic to \(\ell^ 1\) and \(X\) does not contain any complemented subspace isomorphic to \(c_ 0\).
Mathematics Subject Classification ID: 46B42
Mathematics Subject Classification ID: 46B25
Mathematics Subject Classification ID: 46B10
zbMATH DE Number: 734497
zbMATH Keywords: Banach lattice
zbMATH Keywords: reflexive
zbMATH Keywords: subspace isomorphic to \(\ell^ 1\)
zbMATH Keywords: complemented subspace isomorphic to \(c_ 0\)
reviewed by: Sonia Pérez Díaz
MaRDI profile type: Publication
cites work: Q3329946
cites work: On Banach spaces whose dual balls are not weak\(^*\) sequentially compact
cites work: Bases and reflexivity of Banach spaces
cites work: Q5609641
cites work: Q5584180
cites work: Q5825372
cites work: Reflexivity in Banach lattices and their subspaces
full work available at URL: https://doi.org/10.1007/bf01202072
OpenAlex ID: W2388438530
description: scientific article; zbMATH DE number 734497