| 拟Mazur空间与拟相容局部凸拓扑 |
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| 引用本文： | 丘京辉.拟Mazur空间与拟相容局部凸拓扑[J].苏州大学学报(医学版),1996,12(2):5-14. |
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| 作者姓名： | 丘京辉 |
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| 作者单位： | 苏州大学数学科学学院 |
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| 摘 要： | 拟Ｍａｚｕｒ空间、拟相容局部凸拓扑与超Ｍａｃｋｅｙ拓扑的概念被引入。如同在相容局部凸拓扑的理论中，拟相容局部凸拓扑的不变性质被获得。特别地，证明了拟相容局部凸拓扑具相同的有界集、相同的弱紧集和相同的拟闭凸集。超Ｍａｃｋｅｙ拓扑的一些性质被给出。一个类似于Ｍａｃｋｅｙ－Ａｒｅｎｓ定理的结果被建立。
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| 关 键 词： | 局部凸空间 Mazur空间 对偶 拟Mazur空间 |
QUASI-MAZUR SPACES AND QUASI-COMPATIBLE LOCALLY CONVEX TOPOLOGIES |
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| Qiu Jinghui.QUASI-MAZUR SPACES AND QUASI-COMPATIBLE LOCALLY CONVEX TOPOLOGIES[J].Journal of Suzhou University(Natural Science),1996,12(2):5-14. |
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| Authors: | Qiu Jinghui |
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| Abstract: | The notions of quasi - Mazur spaces , quasi - compatible locally convex topologies and ultra - Mackey topologies are introduced. As in the theory of compatible locally convex topologies, the invariant properties of quasi - compatible locally convex topologies are obtained. Particularly, it is proved that quasi-compatible locally convex topologies have the same bounded sets, the same weakly compact sets and the same quasi-closed convex sets- Some properties of ultra-Mackey topologies are given and the analogue of Mackey-Arens Theorem is established. 1991 Mathematics Subject Classification. 46A03. |
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| Keywords: | Locally convex spaces Mazur spaces duals |
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