可补闭子模和有界广义逆模映射

Complemented Closed Submodules and Bounded Generalized Inverse Module Maps

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摘要引入了“有界广义逆模映射”的概念 ,并给出了等价刻画 .揭示了有界广义逆模映射和可补闭子模的内在联系 . we introduced the concept of ″Bounded Generalized Inverse Module maps″ and gave equivalent characterization, while found the intrinsical relationship between Bounded Generalized Inverse Module maps and Complemented Closed Submodules.

作者张伦传

机构地区中国人民大学信息学院

出处《数学的实践与认识》 CSCD 北大核心 2004年第2期143-146,共4页 Mathematics in Practice and Theory

关键词可补闭子模有界广义逆模映射 C＊-代数范数 Hilbert C*-modules bounded generalized inverse module maps complemented closed submodules

分类号 O153.3 [理学—基础数学]

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1张伦传.有界广义逆模映射的刻画及其应用[J].数学学报（中文版）,2006,49(1):7-10.
2张伦传.遗传C＊-子代数与可补闭子模的关系定理[J].数学学报（中文版）,2004,47(4):747-750.
3Xiaochun FANG,Jing YU.Compatibility and Schur Complements of Operators on Hilbert C~*-Module[J].Chinese Annals of Mathematics,Series B,2011,32(1):69-88.
4张伦传.遗传C^＊-子代数和可补闭子模的关系[J].南京大学学报（数学半年刊）,2004,21(1):1-4.
5代数学[J].中国学术期刊文摘,2006,12(13):8-9.

数学的实践与认识

2004年第2期

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可补闭子模和有界广义逆模映射

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