Skip to main content

Some Modulus and Normal Structure in Banach Space


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.

Publisher note

To access the full article, please see PDF.

Author information

Authors and Affiliations


Corresponding author

Correspondence to Zhanfei Zuo.

Rights and permissions

Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Reprints and Permissions

About this article

Cite this article

Zuo, Z., Cui, Y. Some Modulus and Normal Structure in Banach Space. J Inequal Appl 2009, 676373 (2009).

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • DOI:


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