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  • Research Article
  • Open Access

A Coefficient Related to Some Geometric Properties of a Banach Space

Journal of Inequalities and Applications20092009:934321

  • Received: 29 September 2008
  • Accepted: 19 April 2009
  • Published:


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.


  • Banach Space
  • Geometric Property
  • Full Article
  • Coefficient Relate
  • Publisher Note

Publisher note

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Authors’ Affiliations

Department of Mathematics, Harbin University of Science and Technology, Harbin, Heilongjiang, 150080, China


© 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.