| 套代数模上的线性保秩映射 |
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| 引用本文： | 朱永婷,李鹏同.套代数模上的线性保秩映射[J].应用泛函分析学报,2008,10(3):252-259. |
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| 作者姓名： | 朱永婷 李鹏同 |
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| 作者单位： | 1. 解放军国际关系学院文化教研室,江苏,南京,210039
2. 南京航空航天大学理学院,江苏,南京,210016 |
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| 基金项目： | 南京航空航天大学校科研和教改项目 |
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| 摘 要： | 主要讨论作用在复Hilbert空间弱闭 AlgN-模上的线性保秩映射，并给出在各种情况下保秩一性线性映射的刻画．作为应用，最后讨论了弱闭 AlgN-模上的模同构，并得出这样的同构是平凡的．
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| 关 键 词： | AlgN-模 保秩映射 模同构 |
Nest Algebra Modules |
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| ZHU Yong-ting,LI Peng-tong.Nest Algebra Modules[J].Acta Analysis Functionalis Applicata,2008,10(3):252-259. |
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| Authors: | ZHU Yong-ting LI Peng-tong |
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| Institution: | ZHU Yong-ting, LI Peng-tong(1. Department of Culture and Education, University of International Studies, PLA, Nanjing 210039, China;2. Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China) |
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| Abstract: | We characterize rank preserving linear maps between weakly closed AlgN-modules on complex Hilbert space,where N is a nest ; furthermore, we give more concrete characterizations of rank- 1 preserving linear maps in various conditions. As an application, We study module isomorphisms and obtain that such isomorphisms are trivial. |
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| Keywords: | AlgN-module rank-1 preserving map module isomorphism |
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