| 关于局部凸空间的中点局部一致凸性 |
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| 引用本文： | 陈利国,罗成.关于局部凸空间的中点局部一致凸性[J].纯粹数学与应用数学,2011,27(6):749-755. |
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| 作者姓名： | 陈利国 罗成 |
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| 作者单位： | 1. 内蒙古财经学院统计与数学学院,内蒙古呼和浩特,010051
2. 内蒙古大学数学科学学院,内蒙古呼和浩特,010021 |
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| 基金项目： | 内蒙古教育厅项目，内蒙古财经学院校级项目 |
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| 摘 要： | 给出局部凸空间的（弱）中点局部一致凸性,证明了它与（弱）中点局部一致光滑性具有对偶性质,讨论它们与其它凸性之间的关系,推广了Banach空间相应概念和结果.
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| 关 键 词： | 偶对 中点局部一致凸性 弱中点局部一致凸性 |
Midpoint locally uniformly convexity on locally convex spaces |
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| CHEN Li-guo,LUO Cheng.Midpoint locally uniformly convexity on locally convex spaces[J].Pure and Applied Mathematics,2011,27(6):749-755. |
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| Authors: | CHEN Li-guo LUO Cheng |
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| Institution: | 1.School of Statistics and Mathematics,Inner Mongolia Finance and Economics College,Hohhot 010051,China;2.School of Mathematics Sciences,Inner Mongolia University,Hohhot 010021,China) |
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| Abstract: | The notions of（weakly） midpoint locally uniformly convexity on locally convex spaces are introduced.It is proved that the dual property between（weakly） midpoint locally uniformly convexity and（weakly） midpoint locally uniformly smoothness,and disscuss the relationship between them and other convexity.Corresponding notions and results in Banach space is generalized. |
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| Keywords: | dual midpoint locally uniformly convexity weakly midpoint locally uniformly smoothness |
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