| Banach空间若干凸性的一种等价刻画 |
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| 引用本文： | 罗李平. Banach空间若干凸性的一种等价刻画[J]. 西南民族学院学报(自然科学版), 2007, 33(2): 222-224 |
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| 作者姓名： | 罗李平 |
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| 作者单位： | 衡阳师范学院数学系 湖南衡阳421008 |
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| 基金项目： | 湖南省自然科学基金资助项目（05JJ40008）. |
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| 摘 要： | 用统一且简洁形式处理Banach空间的一致凸、局一致凸、弱一致凸、弱局一致凸、严格凸及(M)性质和(WM)性质,给出了它们的一种等价刻画.
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| 关 键 词： | Banach空间 一致凸 局一致凸 弱一致凸 弱局一致凸 严格凸 (M)性质 (WM)性质 |
| 文章编号： | 1003-2843（2007）02-0222-03 |
| 修稿时间： | 2006-12-27 |
An equivalent characterization of some convexities in Banach space |
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| LUO Li-ping. An equivalent characterization of some convexities in Banach space[J]. Journal of Southwest Nationalities College(Natural Science Edition), 2007, 33(2): 222-224 |
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| Authors: | LUO Li-ping |
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| Affiliation: | Department of Mathematics; Hengyang Normal University,Hengyang 421008, P. R. C. |
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| Abstract: | This paper uses uniform and simple form to treat uniformly convex, local uniformly convex, weak uniformly convex, weak local uniformly convex, strictly convex, (M) property and (WM) property in Banach space and an equivalence characterization of them in Banach space is given. |
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| Keywords: | Banach space uniformly convex local uniformly convex weak uniformly convex weak local uniformly convex strictly convex (M) property (WM) property |
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