| 局部凸空间的方向一致凸性和闭凸集的正规结构 |
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| 引用本文： | 武希琳,国起.局部凸空间的方向一致凸性和闭凸集的正规结构[J].苏州科技学院学报(自然科学版),2011,28(3):18-21. |
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| 作者姓名： | 武希琳 国起 |
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| 作者单位： | 苏州科技学院数理学院,江苏苏州,215009 |
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| 基金项目： | 江苏省高校自然科学基金资助项目(08KJD110016)致谢:感谢国起教授在论文撰写过程中给予的帮助! |
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| 摘 要： | 引进了局部凸空间中方向一致凸的概念,给出了相关的几个等价定义,证明了方向一致凸的局部凸空间的任一有界闭凸集具有正规结构。
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| 关 键 词： | 局部凸空间 方向一致凸 正规结构 非扩张映射 |
Uniform convexity in every direction and normal structure of closed convex sets in locally convex spaces |
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| WU Xilin,GUO Qi.Uniform convexity in every direction and normal structure of closed convex sets in locally convex spaces[J].Journal of University of Science and Technology of Suzhou,2011,28(3):18-21. |
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| Authors: | WU Xilin GUO Qi |
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| Institution: | WU Xilin,GUO Qi (School of Mathematics and Physics,SUST,Suzhou 215009,China) |
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| Abstract: | Uniform convexity in every direction in locally convex spaces is introduced and several equivalent definitions are given.Every bounded closed convex set in a uniformly convex in every direction space is proved to have a normal structure. |
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| Keywords: | locally convex spaces uniform convexity in every direction normal structure nonexpansive mapping |
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