| 向量拓扑空间中全有界性的几个结果 |
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| 摘 要： | 在线性赋范空间中,由完全有界集的性质导出Baire定理,本文将它们推广到向量拓扑空间去,主要结果是线性拓扑空间中的致密集是全有界集,由此得出具Baire性质的T_2线性拓扑空间的维数或是有限或者不可数的。
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| 关 键 词： | 全有界集 致密集 Hamil基 一致空间 Baire性 |
SOME RESULT OF TOTAIIY BOUNDED IN TOPOL OGICAL VECTOR SPACES |
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| Authors: | Hu Changsong |
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| Institution: | Hubei Normal University |
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| Abstract: | We know that Baire theorem is deduced by Character of the totally bounded set in the metric vector spaces this paper extena that to the topological vecter spaces |
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| Keywords: | Totally boundee set Hamal basis uniform space cowntably dompact |
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