A Coefficient Related to Some Geometric Properties of a Banach Space

A Coefficient Related to Some Geometric Properties of a Banach Space

<p>Abstract</p> <p>We introduce a new coefficient as a generalization of the modulus of smoothness and Pythagorean modulus of Banach space <inline-formula> <graphic file="1029-242X-2009-934321-i1.gif"/></inline-formula>. Some basic properties of this new...

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Main Authors: Zuo Zhanfei, Cui Yunan
Format: Article
Language:English
Published: SpringerOpen 2009-01-01
Series:Journal of Inequalities and Applications
Online Access:http://www.journalofinequalitiesandapplications.com/content/2009/934321
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spelling doaj-5d779041b1734a6cb70799d7255c248f2020-11-25T00:18:44ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2009-01-0120091934321A Coefficient Related to Some Geometric Properties of a Banach SpaceZuo ZhanfeiCui Yunan<p>Abstract</p> <p>We introduce a new coefficient as a generalization of the modulus of smoothness and Pythagorean modulus of Banach space <inline-formula> <graphic file="1029-242X-2009-934321-i1.gif"/></inline-formula>. Some basic properties of this new coefficient are investigated. Moreover, some sufficient conditions which imply normal structure are presented.</p>http://www.journalofinequalitiesandapplications.com/content/2009/934321
collection DOAJ
language English
format Article
sources DOAJ
author Zuo Zhanfei
Cui Yunan
spellingShingle Zuo Zhanfei
Cui Yunan
A Coefficient Related to Some Geometric Properties of a Banach Space
Journal of Inequalities and Applications
author_facet Zuo Zhanfei
Cui Yunan
author_sort Zuo Zhanfei
title A Coefficient Related to Some Geometric Properties of a Banach Space
title_short A Coefficient Related to Some Geometric Properties of a Banach Space
title_full A Coefficient Related to Some Geometric Properties of a Banach Space
title_fullStr A Coefficient Related to Some Geometric Properties of a Banach Space
title_full_unstemmed A Coefficient Related to Some Geometric Properties of a Banach Space
title_sort coefficient related to some geometric properties of a banach space
publisher SpringerOpen
series Journal of Inequalities and Applications
issn 1025-5834
1029-242X
publishDate 2009-01-01
description <p>Abstract</p> <p>We introduce a new coefficient as a generalization of the modulus of smoothness and Pythagorean modulus of Banach space <inline-formula> <graphic file="1029-242X-2009-934321-i1.gif"/></inline-formula>. Some basic properties of this new coefficient are investigated. Moreover, some sufficient conditions which imply normal structure are presented.</p>
url http://www.journalofinequalitiesandapplications.com/content/2009/934321
work_keys_str_mv AT zuozhanfei acoefficientrelatedtosomegeometricpropertiesofabanachspace
AT cuiyunan acoefficientrelatedtosomegeometricpropertiesofabanachspace
AT zuozhanfei coefficientrelatedtosomegeometricpropertiesofabanachspace
AT cuiyunan coefficientrelatedtosomegeometricpropertiesofabanachspace
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