Title of article :
The Relationship between Weak almost Dunford-Pettis and Dunford-Pettis Operators
Author/Authors :
Retbi ، A. - Universite Ibn Tofail , El Wahbi ، B. - Universite Ibn Tofail
Abstract :
We give some necessary and sufficient conditions for which the class of weak almost Dunford-Pettis operators coincide with that of Dunford-Pettis. Next, we characterize Banach space X and Banach lattice F0 topological dual of Banach lattice F for which each weak almost Dunford-Pettis operator T : X→F is Dunford-Pettis, and we derive some consequences.
Keywords :
Weak almost Dunford , Pettis operator , Dunford , Pettis operator , Schur property , KB , space , AM , compactness property , Order continuous norm
Journal title :
General Mathematics Notes
Journal title :
General Mathematics Notes
