| 接近一致光滑和局部接近一致凸的Banach空间 |
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| 引用本文： | 黎永锦. 接近一致光滑和局部接近一致凸的Banach空间[J]. 中山大学学报(自然科学版), 1995, 34(2): 14-17 |
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| 作者姓名： | 黎永锦 |
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| 作者单位： | 中山大学数学系 |
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| 基金项目： | 中山大学青年科学基金资助课题 |
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| 摘 要： | 给出了Ｂａｎａｃｈ空间Ｘ是接近一致光滑的一个很简明的充要条件，证明了Ｂａｎａｃｈ空间Ｘ是局部一致凸的当且仅当Ｘ是局部接近一致凸，且Ｘ是严格凸，并具有（ＷＭ）性质。
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| 关 键 词： | 接近一致凸，接近一致光滑，局部接近一致凸 |
Nearly Uniformly Smooth and Locally Nearly Uniformly convex Banach spaces |
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| Li Yongjin. Nearly Uniformly Smooth and Locally Nearly Uniformly convex Banach spaces[J]. Acta Scientiarum Naturalium Universitatis Sunyatseni, 1995, 34(2): 14-17 |
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| Authors: | Li Yongjin |
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| Abstract: | A sufficient and necessary condition of nearly uniformly smooth is given,It is shown that Banach space X is locally uniformly convex if and only if X is locally nearly uniformly convex and strictly convex and has(WM)property. |
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| Keywords: | nearly uniformly convex nearly uniformly smooth locally nearly uniformly convex. |
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