About positive weak almost Dunford-Pettis operators and their duality

A. Retbi, B. E. Wahbi
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Abstract

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
关于正弱几乎Dunford-Pettis算子及其对偶性
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
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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