| Banach空间凸性光滑性的进一步探讨(Ⅱ)各类凸性空间的等价性 |
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| 引用本文： | 郝飞,刘德,罗成.Banach空间凸性光滑性的进一步探讨(Ⅱ)各类凸性空间的等价性[J].内蒙古大学学报(自然科学版),2002,33(2):125-129. |
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| 作者姓名： | 郝飞 刘德 罗成 |
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| 作者单位： | 内蒙古大学数学系,内蒙古,呼和浩特,010021 |
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| 基金项目： | 内蒙古自然科学基金资助项目 (批准号:990 30 1 -1 ) |
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| 摘 要： | 引入和极光滑 (非常极光滑或一致极光滑 )空间对偶的极凸 (非常极凸或一致极凸 )空间 ,讨论了它们的性质及其和已知凸性空间的联系 ,给出各种凸性的一系列等价条件 .
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| 关 键 词： | 凸空间 性质(WS)* 对偶关系 |
| 文章编号： | 1000-1638(2002)02-0125-05 |
| 修稿时间： | 2001年3月2日 |
Further Exploration on Convexity and Smoothness of Banach Spaces Equivalence of the Various Kinds of Convexity Spaces |
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| HAO Fei,LIU De,LUO Cheng.Further Exploration on Convexity and Smoothness of Banach Spaces Equivalence of the Various Kinds of Convexity Spaces[J].Acta Scientiarum Naturalium Universitatis Neimongol,2002,33(2):125-129. |
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| Authors: | HAO Fei LIU De LUO Cheng |
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| Abstract: | The extremely convex (very extremely convex and uniformly extremely convex) spaces,which are the spaces dualized with the extremely smooth (very extremely smooth and uniformly extremely smooth) spaces,are introduced,and their properties and the relations with some known convexity spaces are discussed.Moreover,a series of the equivalent conditions of the various kinds of convexity spaces are given. |
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| Keywords: | convexity space property (WS) * dual relation |
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