完全k凸空间的对偶空间及其性质  

The Dual of Fully k-Convex Spaces and Its Properties

作　　者：包来友[1] 苏雅拉图[1] 

机构地区：[1]内蒙古师范大学数学科学学院

出　　处：《内蒙古师范大学学报（自然科学汉文版）》2008年第2期176-179,共4页Journal of Inner Mongolia Normal University(Natural Science Edition)

基　　金：内蒙古自然科学基金资助项目(200508010106)

摘　　要：引入完全k光滑概念(kS),证明了kS空间是自反的Banach空间,且完全k凸空间与完全k光滑空间概念是对偶概念;若X是kS空间,则X是(k+1)S空间,反之不然.给出完全k光滑空间的特征刻画及一个判定定理.In this paper,we introduce the dual notion of fully k-convex space and study this kind of space. We prove that fully k-convex space is reflexive, and show some characters and properties of the space. In addition,we prove that the fully k-convex space implies the fully （k＋1）-convex space. However, the converse conclusion is not necessarily true.

关 键 词：完全k-凸空间 完全k-光滑空间 BANACH空间 

分 类 号：O177.2[理学—数学]