| 局部凸空间的若干凸性及其相互关系 |
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| 引用本文： | 丁爱琼,杨志涛,黄展宏.局部凸空间的若干凸性及其相互关系[J].广西师范学院学报(自然科学版),2007,24(3):12-16. |
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| 作者姓名： | 丁爱琼 杨志涛 黄展宏 |
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| 作者单位： | 广西师范学院,数学与计算机科学系,广西,南宁,530001;广西师范学院,数学与计算机科学系,广西,南宁,530001;广西师范学院,数学与计算机科学系,广西,南宁,530001 |
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| 基金项目： | 广西自然科学基金资助项目[桂科自0728050] |
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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.
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| 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 |
| 文章编号： | 1002-8743（2007）03-0012-05 |
| 收稿时间： | 2007-07-11 |
| 修稿时间： | 2007年7月11日 |
Some Convex Properties of Local Convex Spaces and Their Relations |
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| DING Ai-qiong,YANG Zhi-tao,HUANG Zhan-hong.Some Convex Properties of Local Convex Spaces and Their Relations[J].Journal of Guangxi Teachers Education University:Natural Science Edition,2007,24(3):12-16. |
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| Authors: | DING Ai-qiong YANG Zhi-tao HUANG Zhan-hong |
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| Institution: | Pepartment of Mathemathies and Computer Science, Guangxi Teachers Education University, Nanning 530001, China |
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| Abstract: | 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 Kuniform convexity. |
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| Keywords: | locally fully K-convex K-strongly convex locally uniformly convex K-very convex (weakly)locally K-uniformly convex |
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