| K-drop凸空间中的性质 |
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| 引用本文： | 魏文展,徐厚宝. K-drop凸空间中的性质[J]. 数学杂志, 2004, 24(2): 168-172 |
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| 作者姓名： | 魏文展 徐厚宝 |
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| 作者单位： | 1. 广西师范学院数学系,广西,南宁,530001
2. 北京信息控制研究所,北京,100037 |
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| 基金项目： | SupportedbytheNationalNaturalScienceFoundationofGuanxiProvince(No .0 1 35 0 0 2 ) |
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| 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。
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| 关 键 词： | Banach空间 Kdrop凸性 drop性 非紧性测度 |
SOME PROPERTIES OF K-DROP CONVEX SPACES |
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| Abstract. SOME PROPERTIES OF K-DROP CONVEX SPACES[J]. Journal of Mathematics, 2004, 24(2): 168-172 |
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| Authors: | Abstract |
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| 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. |
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| Keywords: | Banach space K-drop convexity drop property non-compact measure. |
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