数学物理学报 ›› 2013, Vol. 33 ›› Issue (2): 327-332.

• 论文 • 上一篇    下一篇

Banach 空间中的正规结构和广义U凸模

左占飞   

  1. 重庆三峡学院 数学与统计学院 四川 万州 404000
  • 收稿日期:2011-12-28 修回日期:2012-11-23 出版日期:2013-04-25 发布日期:2013-04-25
  • 基金资助:

    东南大学科研业务费``创新基金"项目和国家自然科学基金(11126329)资助

Normal Structure and the Generalized Modulus of U-convexity in Banach Spaces

 ZUO Zhan-Fei   

  1. Department of Mathematics and Statistics, Chongqing Three Gorges University, Sichuan Wanzhou 404000
  • Received:2011-12-28 Revised:2012-11-23 Online:2013-04-25 Published:2013-04-25
  • Supported by:

    东南大学科研业务费``创新基金"项目和国家自然科学基金(11126329)资助

摘要:

利用Banach 空间中的广义U凸模,弱正交序列系数和Benavides系数R(1, X)之间的关系, 得到了空间具有正规结构的几个充分条件,得到的结论推广了最近的一些新结果.

关键词: 广义U凸模, 弱正交序列系数, Benavides系数, 正规结构, 不动点

Abstract:

Some sufficient conditions for which a Banach space X has normal structure in term of the generalized modulus of U-convexity, the
coefficient of weak orthogonality and the coefficient R(1, X) were studied in this paper. Our results extend and improve some recent
results.

Key words: Generalized modulus of U-convexity, Coefficient of weak orthogonality, Normal structure, Fixed point

中图分类号: 

  • 47H10