Open Access

A Coefficient Related to Some Geometric Properties of a Banach Space

Journal of Inequalities and Applications20092009:934321

DOI: 10.1155/2009/934321

Received: 29 September 2008

Accepted: 19 April 2009

Published: 5 May 2009

Abstract

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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Authors’ Affiliations

(1)
Department of Mathematics, Harbin University of Science and Technology

Copyright

© Z. Zuo and Y. Cui. 2009

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.