| ON A GENERALIZED MODULUS OF CONVEXITY AND UNIFORM NORMAL STRUCTURE |
| |
| 作者姓名： | 杨长森 王丰辉 |
| |
| 作者单位： | College of Mathematics and Information Science Henan Normal University Xinxiang 453007，China，Department of Mathematics Luoyang Normal University，Luoyang 471022，China |
| |
| 基金项目： | Supported by Education Foundation of Henan Province(2003110006) |
| |
| 摘 要： | In this article, the authors study a generalized modulus of convexity, δ(α)(∈).Certain related geometrical properties of this modulus are analyzed. Their main result is that Banach space X has uniform normal structure if there exists ∈, 0 ≤∈≤1, such that δ(α)(1 ∈) ＞ (1 - α)∈.
|
| 关 键 词： | 无显著特点凸状系数 统一正常结构 极端产品 BanachX空间凸状 |
| 收稿时间： | 11 June 2005 |
| 修稿时间： | 2005-06-11 |
On a generalized modulus of convexity and uniform normal structure |
| |
| Yang Changsen,Wang Fenghui.ON A GENERALIZED MODULUS OF CONVEXITY AND UNIFORM NORMAL STRUCTURE[J].Acta Mathematica Scientia,2007,27(4):838-844. |
| |
| Authors: | Yang Changsen Wang Fenghui |
| |
| Institution: | College of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, China;Department of Mathematics, Luoyan9 Normal University, Luoyang 471022, China |
| |
| Abstract: | In this article, the authors study a generalized modulus of convexity, δ )( ). Certain related geometrical properties of this modulus are analyzed. Their main result is that Banach space X has uniform normal structure if there exists , 0 ≤ ≤ 1, such that δ() (1 + ) > (1-) . |
| |
| Keywords: | Generalized modulus of convexity uniform normal structure ultraproduct |
| 本文献已被 CNKI 维普 万方数据 ScienceDirect 等数据库收录！ |
