| Banach格上AM-紧算子的M-和L-弱紧性 |
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| 引用本文： | 王雅娟,陈滋利,柳雅朋.Banach格上AM-紧算子的M-和L-弱紧性[J].西南民族学院学报(自然科学版),2014(1):79-82. |
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| 作者姓名： | 王雅娟 陈滋利 柳雅朋 |
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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： | 在Banach上对AM-紧算子与M-及L-弱紧算子之间的关系做了研究,得到了当AM-紧算子是M-(L-)弱紧算子时,其定义域和值域空间应具有的性质特征;反过来也得到了M-(L-)弱紧算子在什么空间条件下是AM-紧算子的一些相关结论.
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| 关 键 词： | Banach格 AM-紧算子 M-弱紧算子 L-弱紧算子 |
M- and L-weakly compactness of AM-compact operators on Banach lattices |
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| WANG Ya-juan,CHEN Zi-li,LIU Ya-peng.M- and L-weakly compactness of AM-compact operators on Banach lattices[J].Journal of Southwest Nationalities College(Natural Science Edition),2014(1):79-82. |
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| Authors: | WANG Ya-juan CHEN Zi-li LIU Ya-peng |
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| Institution: | (School of Mathematics, Southwest Jiaotong University, Chengdu 610031, RR.C.) |
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| Abstract: | This paper introduces and studies the relationship between the AM-compact operator and the M-（L-）weak compact operator, mainly fi）cusing on the domains and range spaces tbr all AM-compact operator being M-（L-）weak compact operator. Some conclusions are obtained on how the M-（L-）weak compact operator is AM-compact operator. |
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| Keywords: | Banach lattice AM-compact operator M-weak compact operator L- weak compact operator |
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