On positive almost weak* Dunford–Pettis operators

Abstract

In this paper, we introduce the class of almost weak* Dunford-Pettis operators and give a characterization of this class of operators. We study its relation with the classes of weak* Dunford-Pettis operators and almost Dunford-Pettis operators, and its relation with the closely related classes of almost limited operators and L-weakly compact operators.