| Banach空间凸性光滑性的进一步探讨(Ⅰ)各类光滑空间的等价性 |
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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(Ⅰ)各类光滑空间的等价性[J].内蒙古大学学报(自然科学版),2002,33(1):7-11. |
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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： | 引入和中点局部一致凸（弱中点局部一致凸）空间对偶的中点局部一致光滑（弱中点局部一致光滑）空间，讨论了它们的性质及其和已知光滑空间的联系，给出各种光滑性的一系列等价条件。
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| 关 键 词： | 光滑空间 Banach空间 凸性 光滑性 中点局部一致凸空间 中点局部一致光滑空间 |
| 文章编号： | 1000-1638(2002)01-0007-05 |
Further Exploration on Convexity and Smoothness of Banach Spaces (Ⅰ)Equivalence of the Various Kinds of Smooth Spaces |
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| HAO Fei,LIU De,LUO Cheng.Further Exploration on Convexity and Smoothness of Banach Spaces (Ⅰ)Equivalence of the Various Kinds of Smooth Spaces[J].Acta Scientiarum Naturalium Universitatis Neimongol,2002,33(1):7-11. |
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| Authors: | HAO Fei LIU De LUO Cheng |
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| Abstract: | The midpoint Locally uniformly smoothes (the weakly midpoint locally uniformly smooth) spaces,which are the spaces dualized with the midpoint locally uniformly convex (the weakly midpoint locally uniformly convex) spaces,are introduced,and their properties and the relations with some known smooth spaces are discussed.Moreover,a series of the equivalent conditions of the various kinds of smooth spaces are given. |
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| Keywords: | Smooth space Property(WS) Property(WM) * |
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