Banach spaces which are dual to \(k\)-uniformly convex spaces
type: Item
instance of: scholarly article
title: Banach spaces which are dual to \(k\)-uniformly convex spaces
zbMATH Open document ID: 0885.46011
author: Elisabetta Maluta
author: Stanisław Prus
published in: Journal of Mathematical Analysis and Applications
publication date: 1998-04-20T00:00:00Z
review text: The authors find a characterization of the property dual to \(k\)-uniform convexity and call it \(k\)-uniform smoothness. A slight modification of a modulus defined by \textit{V. D. Mil'man} [Russian Math. Surveys 26 (1971), No. 6, 79-163 (1972; Zbl 0238.46012); translation from Usp. Mat. Nauk 26, No. 6(162), 73-149 (1971; Zbl 0229.46017)] can be seen as a modulus of \(k\)-uniform smoothness. Besides, they show that \(k\)-uniformly smooth spaces have the fixed point property.
Mathematics Subject Classification ID: 46B20
Mathematics Subject Classification ID: 46B10
Mathematics Subject Classification ID: 47H10
zbMATH DE Number: 1031617
zbMATH Keywords: \(k\)-uniform convexity
zbMATH Keywords: \(k\)-uniform smoothness
zbMATH Keywords: fixed point property
reviewed by: Liu Zheng
MaRDI profile type: Publication
full work available at URL: jmaa.1997.5310
OpenAlex ID: W2013775191
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DOI: 10.1006/JMAA.1997.5310
description: scientific article; zbMATH DE number 1031617