关于正弱几乎Dunford-Pettis算子及其对偶性

International Journal of Mathematical Analysis Pub Date : 1900-01-01 DOI:10.12988/ijma.2014.46182

A. Retbi, B. E. Wahbi

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引用次数: 0

摘要

我们建立了Banach格对E,F的充分必要条件，在这些格对下，每一个正弱几乎Dunford-Pettis算子T: E→F都有一个伴随算子T ': F '→E '为Dunford-Pettis。最后，我们得到了一些有趣的结果。数学学科分类:46A40、46B40、46F42

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About positive weak almost Dunford-Pettis operators and their duality

We establish some necessary and sufficient conditions on the pairs of Banach lattices E,F under which each positive weak almost Dunford-Pettis operator T : E → F has an adjoint T ′ : F ′ → E′ which is Dunford-Pettis. Finally, we derive some interesting results. Mathematics Subject Classification: 46A40, 46B40, 46F42

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International Journal of Mathematical Analysis

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