Asymptotically isometric copies of \(c_0\) in Banach spaces
type: Item
instance of: scholarly article
title: Asymptotically isometric copies of \(c_0\) in Banach spaces
zbMATH Open document ID: 0916.46007
author: C. J. Lennard
author: B. Turett
author: P. N. Dowling
published in: Journal of Mathematical Analysis and Applications
publication date: 1998-11-29T00:00:00Z
review text: The authors continue the research of \textit{P. N. Dowling, C. J. Lennard} [Proc. Am. Math. Soc. 125, No. 2, 443-446 (1997; Zbl 0861.47032)] and \textit{P. N. Dowling, C. J. Lennard, B. Turret} [J. Math. Anal. Appl. 200, No. 3, 653-662 (1996; Zbl 0863.47038)] and exhibit some examples of Banach spaces containing an asymptotically isometric copy of \(c_0\).
Mathematics Subject Classification ID: 46B20
Mathematics Subject Classification ID: 46B25
zbMATH DE Number: 1215742
zbMATH Keywords: asymptotically isometric copy of \(c_0\)
reviewed by: S. S. Kutateladze
MaRDI profile type: Publication
full work available at URL: jmaa.1997.5820
OpenAlex ID: W1971330242
cites work: On bases and unconditional convergence of series in Banach spaces
cites work: C(K, E) Contains a Complemented Copy of c 0
cites work: Reflexivity in Banach lattices
cites work: Q3329946
cites work: Q4148368
cites work: Complemented Copies of c 0 in Vector-Valued Hardy Spaces
cites work: Every nonreflexive subspace of $L_1[0,1]$ fails the fixed point property
cites work: Reflexivity and the fixed-point property for nonexpansive maps
cites work: The optimality of James’s distortion theorems
cites work: On Complemented Copies of c 0 in L p X , 1 ≤p < ∞
cites work: Subspaces of \(l_ 1\) with strictly convex norm
cites work: Uniformly non-square Banach spaces
DOI: 10.1006/JMAA.1997.5820
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description: scientific article; zbMATH DE number 1215742