| 引用本文: | 覃左平.可度量的局部凸空间的弱集性.[J].国防科技大学学报,1997,19(4):110-114.[点击复制] |
| Qing Zuoping.W-Compactness Metrizable Locally Convex Spaces[J].Journal of National University of Defense Technology,1997,19(4):110-114[点击复制] |
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| 可度量的局部凸空间的弱集性 |
| 覃左平 |
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(国防科技大学 系统工程与数学系 湖南 长沙 410073)
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| 摘要: |
| 本文用非标准方法证明并推广了Eberlein-Smullian 定理, 证明了可度量的局部凸空间中W-紧,W-序列紧及W-可数紧等价。 |
| 关键词: W-紧,W-序列紧, 非标准模型 |
| DOI： |
| 投稿日期：1997-04-09 |
| 基金项目:国家自然科学基金资助课题 |
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| W-Compactness Metrizable Locally Convex Spaces |
| Qing Zuoping |
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(Department of System Engineering and Applied Mathematics, NUDT, Changsha, 410073)
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| Abstract: |
| Using the method of nonstandard analysis, we prove and generalize the theorem of Eberlein-Smulian, and obtain the equivalence of W-compact、W-coutably compact and W-sequentially compact in metrizable locally convex spaces. |
| Keywords: W-compact, W-coutably compact, W-sequentially compact |
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