| Banach空间一些凸性等价的条件 |
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| 引用本文： | 黎永锦. Banach空间一些凸性等价的条件[J]. 中山大学学报(自然科学版), 1999, 38(4): 120-122 |
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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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| 摘 要： | 证明了若Ｘ是自反的强光滑空间，则Ｘ是（ＨＲ）当且仅当Ｘ是局部的一致凸的；若Ｂａｎａｃｈ空间Ｘ具有（）性质，则Ｘ是强凸的当且仅当Ｘ是局部的一致凸的
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| 关 键 词： | 局部一致凸；强凸；非常凸；严格凸；中点局部一致凸 |
| 修稿时间： | 1998-10-05 |
Some Conditions Related to the Equivalence of Convexities in Banach Space |
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| LI Yong jin. Some Conditions Related to the Equivalence of Convexities in Banach Space[J]. Acta Scientiarum Naturalium Universitatis Sunyatseni, 1999, 38(4): 120-122 |
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| Authors: | LI Yong jin |
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| Affiliation: | LI Yong jinDepartment of Mathematics,Zhongshan University,Guangzhou 510275,China |
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| Abstract: | It is proved that if X is a reflexive and strongly smooth Banach space,the Banach space X is (HR) if and only if X is locally uniformly convex.If X * has (**) property,the Banach space X is strongly convex if and only if X is locally uniformly convex. |
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| Keywords: | locally uniformly convex strongly convex very convex strictly convex midpoint locally uniformly convex |
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