| Banach空间的非常凸性 |
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| 引用本文： | 何仁义. Banach空间的非常凸性[J]. 山西师范大学学报：自然科学版, 1994, 8(2): 7-10 |
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| 作者姓名： | 何仁义 |
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| 作者单位： | 雁北师院数学系 |
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| 摘 要： | 本文引进非常凸的Banach空间，讨论了非常凸与弱局部一致凸、弱中点局部一致凸、严格凸的关系，证明了非常凸与非常光滑是对偶概念，并找到了中点局部一致凸及局部完全k凸的对偶概念，推广了文[1]、[2]、[3]中的5个结果．
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| 关 键 词： | 局部一致凸 Banach空间 凸性 非常光 严格凸 对偶 证明 中点 概念 推广 |
Very Convexity in Banach Spaces |
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| He Renyi. Very Convexity in Banach Spaces[J]. Journal of Shanxi Teachers University, 1994, 8(2): 7-10 |
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| Authors: | He Renyi |
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| Abstract: | In this paper,we introduce very convex Banach spaces,discuss the relationship of very convex and weakly locally uniformly rotund. Weakly midpoint locally uniformly convex. Strictly convex,prove that very convex and very smooth is the dual nition. We also find the dual notion of midpoint locally uniformly convex and locally fully k-convex ,generalize five results in[1],[2],[3]. |
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| Keywords: | Strictly convex Weakly locally uniformly rotund Weakly midpoint locally uniformly convex Very convex Very smooth |
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