Every weakly compact set can be uniformly embedded into a reflexive Banach space
type: Item
instance of: scholarly article
title: Every weakly compact set can be uniformly embedded into a reflexive Banach space
zbMATH Open document ID: 1182.46004
author: Qingjin Cheng
author: Wen Zhang
author: Lixin Cheng
author: Zhenghua Luo
publication date: 2009-09-03T00:00:00Z
review text: The authors prove that every weakly compact subset of a Banach space can be uniformly embedded into a reflexive Banach space. Reviewer's remark. This corollary of the well-known Davis-Figiel-Johnson-Pełczyński theorem was noted also by \textit{Y.\,Benyamini} and \textit{T.\,Starbird} [Isr.\ J.\ Math.\ 23, 137--141 (1976; Zbl 0325.46023)].
Mathematics Subject Classification ID: 46B10
Mathematics Subject Classification ID: 46A50
zbMATH DE Number: 5601607
zbMATH Keywords: Banach space
zbMATH Keywords: weakly compact set
zbMATH Keywords: renorming
reviewed by: A. M. Plichko
MaRDI profile type: Publication
full work available at URL: s10114-009-7545-5
OpenAlex ID: W1983554189
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DOI: 10.1007/S10114-009-7545-5
published in: Acta Mathematica Sinica, English Series
description: scientific article; zbMATH DE number 5601607