| Abel群上的Hahn-Banach定理 |
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| 引用本文： | 李晗方锦暄. Abel群上的Hahn-Banach定理[J]. 数学学报, 2008, 51(5): 965-970 |
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| 作者姓名： | 李晗方锦暄 |
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| 作者单位： | 南京师范大学数学与计算机科学学院 |
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| 摘 要： | 进一步研究了可换平移空间与次范整线性空间之间的关系,建立了Abel群上的Hahn-Banach定理,作为其推论,得到了次范整线性空间中的Hahn-Banach定理.
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| 关 键 词： | 可换平移空间 次范整线性空间 Hahn-Banach定理 |
| 收稿时间： | 2007-05-09 |
Hahn-Banach Theorem on Abel Group |
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| Affiliation: | School of Mathematics and Computer Science, Nanjing Normal UniversitySchool of Mathematics and Computer Science, Nanjing Normal University |
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| Abstract: | The relationshipbetween exchangeable translation spaces and sub-normed {bfZ}-linear spaces is further studied. The Hahn-Banach theorem onAbel group is established. As its consequence, Hahn-Banach theoremin sub-normed {bf Z}-linear spaces is obtained. |
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| Keywords: | exchangeable translation spaces sub-normed Z-linear spaces Hahn-Banach theorem |
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