SOME RESULTS ON L-DUNFORD{PETTIS SETS IN BANACH SPACES

Following the concept of L-limited sets in dual Ba- nach spaces introduced by Salimi and Moshtaghioun, we dene L-Dunford{Pettis sets and L{Dunford{Pettis property. We ob- tain some characterizations of them with respect to some well known geometric properties of Banach spaces, such as, Dunford- Pettis property, relatively compact Dunford-Pettis property and Dunford-Pettis completely continuous operators on such Banach spaces