ON A GENERALIZED MODULUS OF CONVEXITY AND UNIFORM NORMAL STRUCTURE

doi:10.1016/S0252-9602(07)60081-2

数学物理学报(英文版)

ON A GENERALIZED MODULUS OF CONVEXITY AND UNIFORM NORMAL STRUCTURE

杨长森; 王丰辉

河南师范大学数学与信息学院, 新乡 453007

收稿日期:2005-06-11 修回日期:2005-12-25 出版日期:2007-10-20 发布日期:2007-10-20
通讯作者: 杨长森
基金资助:
Supported by Education Foundation of Henan Province (2003110006)

ON A GENERALIZED MODULUS OF CONVEXITY AND UNIFORM NORMAL STRUCTURE

Yang Changsen; Wang Fenghui

College of Mathematics and Information Science, Henan Normal University,
Xinxiang 453007, China

Received:2005-06-11 Revised:2005-12-25 Online:2007-10-20 Published:2007-10-20
Contact: Yang Changsen

摘要/Abstract

摘要：

In this article, the authors study a generalized modulus of convexity, δ^α(ε). Certain related geometrical properties of this modulus are analyzed. Their main result is that Banach space X has uniform normal structure if there exists ε, 0≤ε≤1, such that δ^α(1+ε)>(1-α)ε.

关键词: Generalized modulus of convexity, uniform normal structure,
ultraproduct

Abstract:

Key words: Generalized modulus of convexity, uniform normal structure,
ultraproduct

中图分类号:

46B20

杨长森; 王丰辉. ON A GENERALIZED MODULUS OF CONVEXITY AND UNIFORM NORMAL STRUCTURE[J]. 数学物理学报(英文版), 2007, 27(4): 838-844.

Yang Changsen; Wang Fenghui. ON A GENERALIZED MODULUS OF CONVEXITY AND UNIFORM NORMAL STRUCTURE[J]. Acta mathematica scientia,Series B, 2007, 27(4): 838-844.

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ON A GENERALIZED MODULUS OF CONVEXITY AND UNIFORM NORMAL STRUCTURE

ON A GENERALIZED MODULUS OF CONVEXITY AND UNIFORM NORMAL STRUCTURE

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