A Coefficient Related to Some Geometric Properties of a Banach Space

We introduce a new coefficient as a generalization of the modulus of smoothness and Pythagorean modulus of Banach space . Some basic properties of this new coefficient are investigated. Moreover, some sufficient conditions which imply normal structure are presented.

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Bibliographic Details
Published inJournal of inequalities and applications Vol. 2009; no. 1; p. 934321
Main Authors Zuo, Zhanfei, Cui, Yunan
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.01.2009
SpringerOpen
Subjects
Analysis
Applications of Mathematics
Mathematics
Mathematics and Statistics
Research Article
Banach Space
Publisher Note
Coefficient Relate
Geometric Property
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Summary:We introduce a new coefficient as a generalization of the modulus of smoothness and Pythagorean modulus of Banach space . Some basic properties of this new coefficient are investigated. Moreover, some sufficient conditions which imply normal structure are presented.
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1155/2009/934321