\(\Gamma\)-weak local uniform rotundness in Banach spaces
type: Item
instance of: scholarly article
title: \(\Gamma\)-weak local uniform rotundness in Banach spaces
zbMATH Open document ID: 0936.46012
author: E. V. Manokhin
published in: Russian Mathematics
publication date: 2000-05-08T00:00:00Z
review text: The aim of this paper is to study the concept of \(\Gamma\)-weak local uniform rotundness in Banach spaces in order to extend some previous results concerning the usual weak local uniform rotundness of Banach spaces and their conjugates. This concept was introduced by the author by replacing the usual weak (and weak-\(^*\)) convergence of the sequences from the unit sphere by the so-called \(\Gamma\)-weak (and weak-\(^*\)) convergence with respect to a certain subset \(\Gamma\) of the space (respectively of its conjugate).
Mathematics Subject Classification ID: 46B20
zbMATH DE Number: 1309953
zbMATH Keywords: weak locally uniformly rotund spaces
zbMATH Keywords: strictly rotund spaces
zbMATH Keywords: \(\Gamma\)-weak convergence
reviewed by: Nicolae Popovici
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1309953