| 线性拓扑空间中的几个结果 |
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| 引用本文： | 胡永胜,张耀先.线性拓扑空间中的几个结果[J].信阳师范学院学报(自然科学版),1991,4(4):13-18. |
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| 作者姓名： | 胡永胜 张耀先 |
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| 作者单位： | Hu Yongsheng，Zhang Yaoxian |
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| 摘 要： | 本文给出了线性拓扑空间中线性连续算子的延拓定理,线性紧算子值域的可分性定理,非空集之边界点集不空的充分条件,最后给出凸集分离定理的一个推论。
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| 关 键 词： | 拓扑空间 连续算子 边界点 线性 |
Several Results on Topological Linear Spaces |
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| Hu Yongsheng,Zhang Yaoxian.Several Results on Topological Linear Spaces[J].Journal of Xinyang Teachers College(Natural Science Edition),1991,4(4):13-18. |
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| Authors: | Hu Yongsheng Zhang Yaoxian |
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| Abstract: | In this paper, the following results on topological linear spaces are obtained:
1 . The extension theorem of linear continuous operator.
2 . The theorem of separable range of linear compact operator.
3. The sufficient condition that the boundary of non-empty set is not empty.
4. The consequence of the convex set separation theorem an inference. |
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| Keywords: | linear continuous operator linear compact operator boundary point |
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