%0 Journal Article
%T ω-非常凸空间与ω-非常光滑空间<br>ω-VERY CONVEX SPACES AND ω-VERY SMOOTH SPACES
%A 作者
%A 曾朝英
%A 苏雅拉图
%J 数学杂志
%D 2015
%X 本文研究了ω-非常凸空间和ω-非常光滑空间的问题. 利用局部自反原理和切片证明了ω-非常凸空间和ω-非常光滑空间的对偶关系, 讨论了ω-非常凸空间和ω-非常光滑空间与其它凸性和光滑性的关系, 给出了ω-非常凸空间与ω-非常光滑空间的若干特征刻画, 所得结果完善了关于Banach 空间凸性与光滑性理论的研究.<br>In this article, we study the problems of about ω-very convex spaces and ω-very smooth spaces. Using the local reflexive principle and the slice of unit sphere, we show that the ω-very convex spaces and ω-very smooth spaces are dual notions and study the relation between ω-very convexity, ω-very smoothness with various convexity and smoothness, and give some characteristic descriptions of ω-very smoothness and ω-very convexity . These results perfect the research on convexity and smoothness about Banach spaces
%K ω-非常凸 ω-非常光滑 切片&lt
%K br&gt
%K ω-very convexity ω-very smoothness slice
%U http://sxzz.whu.edu.cn/sxzz/ch/reader/view_abstract.aspx?file_no=20150615&flag=1