| 局部凸空间光滑的充分条件 |
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| 引用本文： | 陈珠明,林宗振.局部凸空间光滑的充分条件[J].暨南大学学报,1996,17(1):17-23. |
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| 作者姓名： | 陈珠明 林宗振 |
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| 作者单位： | 暨南大学数学系 |
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| 摘 要： | 研究局部凸空间的光滑性，给出光滑的一个等价定义，简化了徐天芳论中主要定理的证明，并给出一点为光滑点和强光滑点的充分条件。
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| 关 键 词： | 局部凸空间 光滑 强光滑 充分条件 |
Sufficient Conditions of Smoothness for Locally Convex Spaces |
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| Chen Zhuming,Lin Zongzhen.Sufficient Conditions of Smoothness for Locally Convex Spaces[J].Journal of Jinan University(Natural Science & Medicine Edition),1996,17(1):17-23. |
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| Authors: | Chen Zhuming Lin Zongzhen |
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| Abstract: | The smoothness conditions of Locally convex spaces are discussed in this paper.A equivalent concept of smoothness is introduced.The proof of the main result Xu(1991)is simplified.Sufficient conditions for a point to be a smooth point and to be a strongly smooth point airs given. |
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| Keywords: | locally convex spaces smooth point strongly smooth point |
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