| p-完美凸集和绝对p-完美凸集 |
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| 引用本文： | 张端,刘旭飞,冷岗松. p-完美凸集和绝对p-完美凸集[J]. 上海大学学报(自然科学版), 2010, 16(3): 262-267. DOI: 10.3969/j.issn.1007-2861.2010.03.009 |
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| 作者姓名： | 张端 刘旭飞 冷岗松 |
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| 作者单位： | (上海大学 理学院,上海 200444) |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 给出p-完美凸集、绝对p-完美凸集的定义,讨论了Banach空间中p-凸集、p-完美凸集、绝对p-完美凸集三者之间的关系, 同时给出了p-完美凸集和绝对p-完美凸集的若干性质(0
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| 关 键 词： | p-凸集；p-完美凸集；绝对p-完美凸集；Banach空间 |
P-perfectly Convex Set and Absolutely P-perfectly Convex Set |
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| ZHANG Duan,LIU Xu-fei,LENG Gang-song. P-perfectly Convex Set and Absolutely P-perfectly Convex Set[J]. Journal of Shanghai University(Natural Science), 2010, 16(3): 262-267. DOI: 10.3969/j.issn.1007-2861.2010.03.009 |
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| Authors: | ZHANG Duan LIU Xu-fei LENG Gang-song |
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| Affiliation: | (College of Sciences, Shanghai University, Shanghai 200444, China) |
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| Abstract: | In this paper, we definite the p-perfectly convex set and absolutely p-perfectly convex set, and study the relationship among p-convex set, p-perfectly convex set and absolutely p-perfectly convex set in the Banach space. Some properties of p-perfectly convex set and absolutely p-perfectly convex set are given (0
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| Keywords: | p-convex set p-perfectly convex set absolutely p-perfectly convex set Banach space, |
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