| 保不交算子值域的一些性质 |
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| 引用本文： | 陈志杰,陈滋利,程娜.保不交算子值域的一些性质[J].纯粹数学与应用数学,2009,25(4):774-776. |
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| 作者姓名： | 陈志杰 陈滋利 程娜 |
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| 作者单位： | 西南交通大学数学学院,四川,成都,610031 |
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| 摘 要： | 研究了保不交算子值域的性质,建立了保不交算子值域为Riesz子空间的一个刻画;又讨论了主理想和主带在保不交算子作用后的象的性质,一些相关结果也得以讨论.
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| 关 键 词： | 保不交算子 保区间算子 值域 主带 |
Some properties of the range of disjointness preserving operators |
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| CHEN Zhi-jie,CHEN Zi-li,CHENG Na.Some properties of the range of disjointness preserving operators[J].Pure and Applied Mathematics,2009,25(4):774-776. |
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| Authors: | CHEN Zhi-jie CHEN Zi-li CHENG Na |
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| Institution: | CHEN Zhi-jie,CHEN Zi-li,CHENG Na (College of Mathematics,Southwest Jiaotong University,Chengdu 610031,China) |
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| Abstract: | In this paper,some properties of the range of disjointness preserving operators are discussed.Firstly,the characterization is given,which is that the range of disjointness preserving operator is Riesz subspace.Secondly,some properties of disjointness preserving operators effecting on principal ideal and band are also given. |
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| Keywords: | disjointness preserving operators interval preserving operators range principal bands |
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