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局部凸空间的若干凸性及其相互关系 被引量:1

Some Convex Properties of Local Convex Spaces and Their Relations
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摘要 引进了局部完全K凸的概念,讨论了这种凸性与其它凸性间的关系,并给出了K非常凸,(弱)局部K一致凸的等价刻画. In this paper , we introduce the locally full K - convexity, discuss the relationship between this convexity and the other convexity and give equivalent condition of K -very convexity, and (weakly) local K-uniform convexity.
出处 《广西师范学院学报(自然科学版)》 2007年第3期12-16,共5页 Journal of Guangxi Teachers Education University(Natural Science Edition)
基金 广西自然科学基金资助项目[桂科自0728050]
关键词 局部完全K凸 K强凸 局部一致凸 K非常凸 (弱)局部K一致凸 locally fully K - convex K -strongly convex locally uniformly convex K -very convex (weakly)locally K - uniformly convex
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