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K-drop凸空间中的性质(英文)
SOME PROPERTIES OF K-DROP CONVEX SPACES
【摘要】 为了阐明何为K 强光滑空间的对偶空间 ,本文定义了K drop凸空间并且讨论了该空间的一些性质。同时借助K 强光滑空间的一个等价定义 ,证明了K drop凸空间与K 强光滑空间是对偶空间。文章最后用单位圆的切片给出了K drop凸空间的一等价命题 ,进而建立了K drop凸空间与drop性之间的关系。
【Abstract】 In order to illustrate what is the dual space of K\|strong smoothness, we define K\|drop convex space, and discuss some properties of it. Following an equivalent definition of K\|strong smoothness, we prove that the K\|drop convex space is the dual space of K\|strong smoothness. At last, we establish the relationship between K\|drop convexity and Drop\|property following an equivalent denotation of the former, which is described by the slice of unit sphere.
【关键词】 Banach空间;
Kdrop凸性;
drop性;
非紧性测度;
【Key words】 Banach space; K-drop convexity; drop property; non-compact measure.;
【Key words】 Banach space; K-drop convexity; drop property; non-compact measure.;
【基金】 SupportedbytheNationalNaturalScienceFoundationofGuanxiProvince(No .0 1 35 0 0 2 )
- 【文献出处】 数学杂志 ,Journal of Mathematics , 编辑部邮箱 ,2004年02期
- 【分类号】O177.2
- 【被引频次】21
- 【下载频次】74