Modulus of convexity, the coefficient \(R(1,X)\), and normal structure in Banach spaces
type: Item
instance of: scholarly article
title: Modulus of convexity, the coefficient \(R(1,X)\), and normal structure in Banach spaces
zbMATH Open document ID: 1166.46302
DOI: 10.1155/2008/135873
author: Yunrui Guo
author: Hong-Wei Jiao
author: Fenghui Wang
published in: Abstract and Applied Analysis
publication date: 2008-08-19T00:00:00Z
review text: Summary: Let \(\delta_{X}(\varepsilon )\) and \(R(1,X)\) be the modulus of convexity and the Domínguez--Benavides coefficient, respectively. According to these two geometric parameters, we obtain a sufficient condition for normal structure, that is, a Banach space \(X\) has normal structure if \(2\delta_{X}(1+\varepsilon )>\max\{(R(1,x)-1)\varepsilon,1-(1-\varepsilon /R(1,X)-1)\}\) for some \(\varepsilon\in[0,1]\) which generalizes the known result by Gao and Prus.
Mathematics Subject Classification ID: 46B20
zbMATH DE Number: 5313192
Wikidata QID: Q58644273
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2008/135873
OpenAlex ID: W2122029678
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description: scientific article; zbMATH DE number 5313192