| Mazur定理的一个推广及其几何证明 |
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| 引用本文： | 严质彬.Mazur定理的一个推广及其几何证明[J].数学杂志,2004,24(4):385-389. |
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| 作者姓名： | 严质彬 |
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| 作者单位： | 哈尔滨工业大学数学系,黑龙江,哈尔滨,150001 |
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| 摘 要： | 建立了代数内点的若干性质；给出了Mazur定理的一个推广及其几何证明；证明了此推广的Mazur定理与基本分离定理等价；还得到一个严格分离定理．
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| 关 键 词： | 陌扑线性空间 分离定理 代数内点 |
| 文章编号： | 0255-7797(2004)04-0385-05 |
A GENERALIZATION OF MAZUR THEOREM AND ITS GEOMETRIC PROOF |
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| YAN Zhi-bin.A GENERALIZATION OF MAZUR THEOREM AND ITS GEOMETRIC PROOF[J].Journal of Mathematics,2004,24(4):385-389. |
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| Authors: | YAN Zhi-bin |
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| Abstract: | Some properties of algebraic interior points of subsets in linear space are presented. Then, a generalization of Mazur theorem and its geometric proof are given. The equivalence between this generalization of Mazur theorem and the basic separation theorem is proved. Moreover, a strict separation theorem is obtained. |
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| Keywords: | topological vector space separation theorem algebraic interior point |
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