| 局部凸拓扑线性空间中的一些性质 |
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| 引用本文： | 魏彦华,张敏先.局部凸拓扑线性空间中的一些性质[J].西南民族学院学报(自然科学版),2009,35(2):237-240. |
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| 作者姓名： | 魏彦华 张敏先 |
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| 作者单位： | 成都信息工程学院数学学院,四川成都610059 |
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| 摘 要： | 本文研究了局部凸拓扑线性空间中的一些极限性质、对几个等价关系和线性子空间的有界性做了讨论，还着重讨论了局部凸拓扑线性空间中凸集和线性泛函连续性的一些性质．
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| 关 键 词： | 拓扑线性空间 拓扑线性空间中的极限 T0公理 均衡邻域 凸集 局部凸空间 |
Some properties of locally convex linear topological space |
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| WEI Yan-hua,ZHANG Min-xian.Some properties of locally convex linear topological space[J].Journal of Southwest Nationalities College(Natural Science Edition),2009,35(2):237-240. |
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| Authors: | WEI Yan-hua ZHANG Min-xian |
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| Institution: | ( School of Mathematics, Chengdu University of Information Technology, Chengdu 610041, P. R. C. ) |
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| Abstract: | In this paper some limited properties are studied, and some equivalent relations and the boundness of the linear subspace ares discussed. Some properties of locally convex linear topological space and the continuity of linear function are studied. |
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| Keywords: | linear topological space limit of the linear topological spaces To axiom balanced neighborhood locally convex space convex set |
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