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  • Research Article
  • Open Access

Some Modulus and Normal Structure in Banach Space

Journal of Inequalities and Applications20092009:676373

https://doi.org/10.1155/2009/676373

  • Received: 29 September 2008
  • Accepted: 3 March 2009
  • Published:

Abstract

We present some sufficient conditions for which a Banach space has normal structure in terms of the modulus of -convexity, modulus of -convexity, and the coefficient , which generalized some well-known results. Furthermore the relationship between modulus of convexity, modulus of smoothness, and Gao's constant is considered, meanwhile the exact value of Milman modulus has been obtained for some Banach space.

Keywords

  • Banach Space
  • Normal Structure
  • Full Article
  • Publisher Note

Publisher note

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Authors’ Affiliations

(1)
Department of Mathematics, Harbin University of Science and Technology, Harbin, Heilongjiang, 150080, China

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