| 拓扑向量空间全有界集的一个新充分条件 |
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| 引用本文： | 文开庭. 拓扑向量空间全有界集的一个新充分条件[J]. 毕节学院学报, 2003, 21(3): 56-58 |
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| 作者姓名： | 文开庭 |
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| 作者单位： | 毕节师专数学系,贵州,毕节,551700 |
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| 摘 要： | 给出了一个判定拓扑向量空间中全有界集的新的充分条件 :设A是拓扑向量空间L的子集 ,若A中每个网都有聚点 ,则A为全有界集。
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| 关 键 词： | 拓扑向量空间 全有界集 网 聚点 |
| 文章编号： | 1672-0296(2003)03-0056-03 |
A new sufficient condition for totally bounded sets in topological vector spaces |
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| Wen Kaiting. A new sufficient condition for totally bounded sets in topological vector spaces[J]. Journal of Bijie University, 2003, 21(3): 56-58 |
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| Authors: | Wen Kaiting |
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| Abstract: | In this paper,the author gave a new sufficient condition for totally bounded sets in topological vector spaces that let A be a subset of a topological vector space L,then A is totally bounded if there exists a cluster point in every net in A. |
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| Keywords: | Topological Vector Space Totally Bounded Set Net Cluster Point. |
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