On absolute uniform retracts, uniform approximation property and super weakly compact sets of Banach spaces
type: Item
instance of: scholarly article
title: On absolute uniform retracts, uniform approximation property and super weakly compact sets of Banach spaces
zbMATH Open document ID: 1476.46033
author: Jian Jian Wang
author: Lixin Cheng
author: Qingjin Cheng
publication date: 2021-07-28T00:00:00Z
review text: The two main theorems of the paper under review extend results of [\textit{J. Lindenstrauss}, Mich. Math. J. 11, 263--287 (1964; Zbl 0195.42803)] and [\textit{N. J. Kalton}, Collect. Math. 55, No. 2, 171--217 (2004; Zbl 1069.46004)], respectively. More precisely, it is proved that every super weakly compact convex subset of a Banach space is an absolute uniform retract, and that it also admits the uniform compact approximation property.
Mathematics Subject Classification ID: 46B50
Mathematics Subject Classification ID: 46B28
zbMATH DE Number: 7375667
zbMATH Keywords: super weak compactness
zbMATH Keywords: absolute uniform retract
zbMATH Keywords: Banach spaces
reviewed by: Elói M. Galego
MaRDI profile type: Publication
full work available at URL: s10114-021-0273-1
OpenAlex ID: W3123184531
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DOI: 10.1007/S10114-021-0273-1
published in: Acta Mathematica Sinica, English Series
description: scientific article; zbMATH DE number 7375667