Published February 23, 2011 | Version 6353

Banach Lattices with Weak Dunford-Pettis Property

Description

We introduce and study the class of weak almost Dunford-Pettis operators. As an application, we characterize Banach lattices with the weak Dunford-Pettis property. Also, we establish some sufficient conditions for which each weak almost Dunford-Pettis operator is weak Dunford-Pettis. Finally, we derive some interesting results.

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References

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  • Aliprantis C. D. and Burkinshaw O., Positive operators. Reprint of the 1985 original. Springer, Dordrecht, 2006.
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