Pelczynski's property V on C(\(\Omega\) ,E) spaces
type: Item
instance of: scholarly article
title: Pelczynski's property V on C(\(\Omega\) ,E) spaces
zbMATH Open document ID: 0546.46029
DOI: 10.1007/BF01455797
published in: Mathematische Annalen
publication date: 1985-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/163954
review text: It is shown that if \(\Omega\) is a compact Hausdorff space, E is a Banach space that has property (u) and contains no subspace isomorphic to \(\ell_ 1\), then \(C(\Omega\),E) has Pelczynski's Property V. This in particular shows that if E is a subspace of an order continuous Banach lattice, then \(C(\Omega\),E) has property V iff E has property V.
Mathematics Subject Classification ID: 46E40
Mathematics Subject Classification ID: 46B25
zbMATH DE Number: 3870003
zbMATH Keywords: space of continuous vector valued functions
zbMATH Keywords: Pelczynski's Property V
zbMATH Keywords: order continuous Banach lattice
author: Pilar Cembranos
author: N. J. Kalton
author: Elias Saab
author: Paulette Saab
MaRDI profile type: Publication
cites work: Linear bounded transformation on the space of continuous functions
cites work: Q3876158
cites work: Q3329946
cites work: Q4148368
cites work: Integral representation of dominated operations on spaces of continuous vector fields
cites work: Weakly Compact Sets
cites work: Q4136031
cites work: Q3294439
cites work: Weak Compactness in Locally Convex Spaces
cites work: A Characterization of Banach Spaces Containing l 1
cites work: Q4049667
cites work: Q4052400
cites work: Q5631608
cites work: Reflexivity in Banach lattices and their subspaces
description: scientific article; zbMATH DE number 3870003