| 拓扑线性空间中存在非连续线性算子的充要条件 |
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| 引用本文： | 张武梅.拓扑线性空间中存在非连续线性算子的充要条件[J].成都信息工程学院学报,2009,24(3). |
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| 作者姓名： | 张武梅 |
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| 作者单位： | 成都信息工程学院数学学院,四川,成都,610025 |
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| 摘 要： | 在拓扑线性空间中存在非连续线性泛函的基础上,给出了拓扑线性空间中存在非连续线性算子的充要条件,即拓扑线性空间中存在不闭的线性真子空间.
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| 关 键 词： | 拓扑线性空间 非连续线性算子 H.-基 |
Equivalent condition of existence of non-continuous linear operator in topological linear space |
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| ZHANG Wu-mei.Equivalent condition of existence of non-continuous linear operator in topological linear space[J].Journal of Chengdu University of Information Technology,2009,24(3). |
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| Authors: | ZHANG Wu-mei |
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| Institution: | School of Mathematics;CUIT;Chengdu 610225;China |
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| Abstract: | Based on the existence of the non-continuous linear function in the topological space the equivalent condition of the existence of the non-continuous linear operator in the topological space is derived,i.e.there is a unclosed linear true subspace in the topological linear space. |
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| Keywords: | topological linear space non-continuous linear operator Hamel basis |
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