| 正的Dunford-Pettis算子的L-和M-弱紧性 |
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| 引用本文： | 程娜,陈滋利,冯颖.正的Dunford-Pettis算子的L-和M-弱紧性[J].四川师范大学学报(自然科学版),2011,34(5). |
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| 作者姓名： | 程娜 陈滋利 冯颖 |
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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： | 首先给出了Banach格上正的Dunford-Pettis算子是L-弱紧算子的充分必要条件,且给出了有限维的Banach格的另一个刻画,其次给出了Banach格上正的Dunford-Pettis算子是M-弱紧算子的必要条件,最后给出了Banach格上正的M-弱紧算子是Dunford-Pettis算子的充分条件.
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| 关 键 词： | Dunford-Pettis算子 L-弱紧算子 M-弱紧算子 |
L-and M-weak Compactness of Positive Dunford-Pettis Operators |
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| CHENG Na,CHEN Zi-li,FENG Ying.L-and M-weak Compactness of Positive Dunford-Pettis Operators[J].Journal of Sichuan Normal University(Natural Science),2011,34(5). |
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| Authors: | CHENG Na CHEN Zi-li FENG Ying |
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| Abstract: | We present some necessary and sufficient conditions for positive Dunford-Pettis operators being L-weakly compact.We also give a necessary condition under which each positive Dunford-Pettis operator is M-weakly compact. |
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| Keywords: | M-weakly compact operator L-weakly compact operator Dunford-Pettis operator |
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