接近一致凸空间的对偶空间

数学物理学报 ›› 2011, Vol. 31 ›› Issue (3): 805-813.

接近一致凸空间的对偶空间

苏雅拉图¹¹, 乌敦其其格², 包来友³

1.内蒙古师范大学数学科学学院呼和浩特010022|2.内蒙古商贸学院基础部呼和浩特010022|3. 呼伦贝尔学院数学系内蒙古海拉尔 021008

收稿日期:2008-10-08 修回日期:2010-04-15 出版日期:2011-06-25 发布日期:2011-06-25
基金资助:
国家自然科学基金(11061022)资助

Banach Spaces which are Dual to k Nearly Uniformly Convex Spaces

Suya latu¹, Wudun qiqige², Bao Laiyou³

1.College of Mathematics Science, Inner Mongolia Normal University, Huhhot 010022;
2.Basic Department of Inner Mongolia Trade College, Huhhot 010010;
3.Department of Mathematics, Hulunbeier College, Inner Mongolia Hailaer 021008

Received:2008-10-08 Revised:2010-04-15 Online:2011-06-25 Published:2011-06-25
Supported by:
国家自然科学基金(11061022)资助

摘要/Abstract

摘要：

该文引入了两类新的Banach空间, 即k接近一致光滑空间和ω接近一致光滑空间, 它们分别是Denka Kutzarova 所引入的k 接近一致凸空间和ω接近一致凸空间的对偶空间.作为主要结果, 得到了这两类Banach空间的特征刻画及一些性质, 弄清了k
一致光滑空间、k 接近一致光滑空间、ω接近一致光滑空间, 完全k 光滑空间和接近一致光滑空间的蕴涵关系.

关键词: k 一致光滑空间, k 接近一致光滑空间, ω接近一致光滑空间, , 完全k 光滑空间, Banach空间

Abstract:

In this paper, we introduce two new classes of Banach spaces: k nearly uniformly smooth spaces and ω nearly uniformly smooth spaces, which are the dual notions to k nearly uniformly convex spaces and ω nearly uniformly convex spaces respectively, introduced by Denka Kutzarova. We give some characters and properties of these two kinds of Banach spaces. Apart from that we really distinguish the k uniformly smooth spaces, k nearly uniformly smooth spaces, ω nearly uniformly smooth spaces, fully k smooth spaces and nearly uniformly smooth spaces.

Key words: k uniformly smooth space, k nearly uniformly smooth space, ω nearly uniformly smooth space, Fully k smooth space, Banach space

中图分类号:

46B09

苏雅拉图, 乌敦其其格, 包来友. 接近一致凸空间的对偶空间[J]. 数学物理学报, 2011, 31(3): 805-813.

Suya latu, Wudun qiqige, BAO Laiyou. Banach Spaces which are Dual to k Nearly Uniformly Convex Spaces[J]. Acta mathematica scientia,Series A, 2011, 31(3): 805-813.

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