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 X . 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 in:Journal of inequalities and applications 2009-01, Vol.2009 (1), p.934321-934321
Main Authors: Zuo, Zhanfei, Cui, Yunan
Format: Article
Language:English
Subjects:
Banach spaces
Mathematics
Studies
Online Access:Get full text
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Description
Summary:We introduce a new coefficient as a generalization of the modulus of smoothness and Pythagorean modulus of Banach space X . Some basic properties of this new coefficient are investigated. Moreover, some sufficient conditions which imply normal structure are presented.
ISSN:1025-5834
1029-242X
1029-242X
DOI:10.1186/1029-242X-2009-934321