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] |
|
|
|
本文已被:浏览 5336次 下载 5385次 |
可度量的局部凸空间的弱集性 |
覃左平 |
(国防科技大学 系统工程与数学系 湖南 长沙 410073)
|
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 |
|
W-Compactness Metrizable Locally Convex Spaces |
Qing Zuoping |
(Department of System Engineering and Applied Mathematics, NUDT, Changsha, 410073)
|
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 |
|
|
|
|
|