| Banach空间中的非空闭凸集 |
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| 引用本文： | 白随平,张树斌,姚立.Banach空间中的非空闭凸集[J].数学的实践与认识,2004,34(6):162-165. |
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| 作者姓名： | 白随平 张树斌 姚立 |
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| 作者单位： | 河北经贸大学数学与统计学学院,河北,石家庄,050061 |
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| 摘 要： | 证明了对有 Schauder基的无限维 Banach空间中存在非空闭凸集 int A=且 A不可共支撑的重要结论 ,并提出了一些更重要的相关问题 ,研究了新旧问题间的联系 .
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| 关 键 词： | Schauder基 可分Banach空间 共支撑 |
| 修稿时间： | 2003年10月18 |
Non-vacuous Closed Convex Set in Banach Space |
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| BAI Sui-ping,ZHANG Shu-bin,YAO Li.Non-vacuous Closed Convex Set in Banach Space[J].Mathematics in Practice and Theory,2004,34(6):162-165. |
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| Authors: | BAI Sui-ping ZHANG Shu-bin YAO Li |
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| Abstract: | The author prove that there exists a non-empty closed convex set A in infinite Banach space with schauder base, int A=φ and A isn′t a Co-Supported set, and pose some new problems. Which problems are related with theory of function analysis, conver analysis, optinization and coplementary problem. |
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| Keywords: | Schauder base separable Banach space Co-Supported set |
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