| von Neumann代数中套子代数上Jordan基本映射的可加性 |
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| 引用本文： | 冯珊.von Neumann代数中套子代数上Jordan基本映射的可加性[J].宝鸡文理学院学报(自然科学版),2008,28(3):177-181. |
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| 作者姓名： | 冯珊 |
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| 作者单位： | 西安财经学院,统计学院,陕西,西安,710061 |
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| 基金项目： | 西安财经学院院级重点项目 |
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| 摘 要： | 目的提出因子von Neumann代数的套子代数A上到任一代数B上的Jordan基本映射的概念。方法采用算子论方法进行研究。结果证明了在一些条件下A×B上的Jordan基本映射自动具有可加性。结论本文将Jordan基本映射的概念在一类代数上进行了拓展，并且得到了很好的结果。
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| 关 键 词： | 套子代数 Jordan基本映射 可加性 |
Additivity of elementary maps on nest subalgebras of von Neumann algebra |
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| FENG Shan.Additivity of elementary maps on nest subalgebras of von Neumann algebra[J].Journal of Baoji College of Arts and Science(Natural Science Edition),2008,28(3):177-181. |
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| Authors: | FENG Shan |
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| Institution: | Institute of Statistics;University of Finance And Ecnomics;Xi'an 710061;Shaanxi;China |
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| Abstract: | Aim To introduce the concept about the Jordan elementary maps on nest subalgebras of von Neumann algebra into any algebra.Methods Operator theoretic method is used.Results It is proved that every pair of Jordan elementary maps on nest subalgebras of von Neumann algebra into any algebra is additive.Conclusion Extend the concept of the Jorden elementary maps on some other algebras,and get some well results. |
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| Keywords: | nest algebra Jordan elementary maps additivity maps |
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