The Related Operators Of Dunfort-pettis On Banach Lattices

In this paper,we first discuss the class of order almost Dunford-Pettis operators.Give the conditions for the order weakly compact operators which are order almost Dunford-Pettis operators and the conditions for the order almost Dunford-Pettis operators which are order weakly compact and order Dunford-Pettis operators.Study the adjoint properties of order almost Dunford-Pettis operator and its equivalent descriptions.Secondly we present the class of order almost(L)-Dunford-Pettis operators.Introduce the components properties of order(L)-Dunford-Pettis operator between order bounded operators and preserve disjointness operator.Study the control properties of the order almost(L)-Dunford-Pettis operator.Give the conditions for order almost(L)-Dunford-Pettis operators which are order(L)-Dunford-Pettis operators.