| Banach格上的序连续范数算子 |
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| 引用本文： | 向日光.Banach格上的序连续范数算子[J].长沙理工大学学报(自然科学版),2004(Z1). |
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| 作者姓名： | 向日光 |
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| 作者单位： | 长沙理工大学数学与计算科学学院 湖南长沙 410076 |
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| 摘 要： | 根据Banach格上的序连续范数算子的等价定义,在定理(I)的基础上,进一步得出了在某些Banach格上序连续范数算子、L-弱紧算子及M-弱紧算子的一致性.同时认为序连续范数算子的对偶算子也是序连续范数算子.从而系统地阐述了L-弱紧算子、M-弱紧算子、序连续范数算子及其对偶算子之间的本质联系.
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| 关 键 词： | 序连续范数算子 L-弱紧算子 M-弱紧算子 Banach格 |
The Order Continuous Norm Operators on Banach Lattices |
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| XIANG Ri-guang.The Order Continuous Norm Operators on Banach Lattices[J].Journal of Changsha University of Science and Technology:Natural Science,2004(Z1). |
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| Authors: | XIANG Ri-guang |
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| Abstract: | In term of the equivalent definitions of the order continuous norm operator and the theorem (I),we have arrived at the accordance among the order continuous norm operators,the L-weakly operators and the M-weakly operators on some Banach lattices. At the same time,the dual operators of the order continuous norm operators are also order continuous norm operators.Thereby, we have systematically expounded the essential links among the L-weakly operators, the M-weakly operators, the order continuous norm operators and the dual operators on some Banach Lattices. |
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| Keywords: | order continuous norm operator L-weakly compact operator M-weakly compact operator Banach lattice |
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