| 半拓扑线性空间中的半拓扑线性有界性 |
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| 引用本文： | 阿拉腾苏布德. 半拓扑线性空间中的半拓扑线性有界性[J]. 内蒙古大学学报(自然科学版), 2012, 43(1): 31-33 |
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| 作者姓名： | 阿拉腾苏布德 |
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| 作者单位： | 内蒙古农业大学理学院,呼和浩特,010018 |
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| 摘 要： | 主要研究半拓扑线性空间中半拓扑线性有界与完全半拓扑线性有界的关系,得到了半拓扑线性子空间中半拓扑线性有界的充分必要条件,以及半拓扑线性空间中半拓扑线性有界的等价条件.
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| 关 键 词： | 半拓扑线性空间 半拓扑线性有界 完全半拓扑线性有界 半拓扑线性空间的子空间 |
Semi-topological Linear Boundedness of Semi-topological Linear Spaces |
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| Alatengsubude. Semi-topological Linear Boundedness of Semi-topological Linear Spaces[J]. Acta Scientiarum Naturalium Universitatis Neimongol, 2012, 43(1): 31-33 |
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| Authors: | Alatengsubude |
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| Affiliation: | Alatengsubude(College of Science,Inner Mongolia Agricultural University,Hohhot 010018) |
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| Abstract: | The relation between semi-topological linear-bounded and complete semi-topological linear-bounded is mainly discussed in semi-topological linear spaces.The sufficient and necessary conditions of semi-topological linear-bounded in the subspace of semi-topological linear spaces are given,and the equal condition of semi-topological linear-bounded in the semi-topological linear spaces is obtained. |
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| Keywords: | Semi-topological linear space semi-topological linear-bounded complete semi-topological linear-bounded subspace of semi-topological linear space |
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