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A Coefficient Related to Some Geometric Properties of a Banach Space

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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Correspondence to Zhanfei Zuo.

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

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Zuo, Z., Cui, Y. A Coefficient Related to Some Geometric Properties of a Banach Space. J Inequal Appl 2009, 934321 (2009). https://doi.org/10.1155/2009/934321

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  • DOI: https://doi.org/10.1155/2009/934321

Keywords

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