k接近一致凸空间的对偶空间  

Banach Spaces which are Dual to k Nearly Uniformly Convex Spaces

作　　者：苏雅拉图[1] 乌敦其其格 包来友[3] 

机构地区：[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

出　　处：《数学物理学报（A辑）》2011年第3期805-813,共9页Acta Mathematica Scientia

基　　金：国家自然科学基金(11061022)资助

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.In this paper, we introduce two new classes of Banach spaces： k nearly uniformly smooth spaces and w 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.

关 键 词：κ一致光滑空间 κ接近一致光滑空间 ω接近一致光滑空间 完全κ光滑空间 BANACH空间 

分 类 号：O177.2[理学—数学]