On the class of weak U-Dunford–Pettis operators

Abstract

Abstract In this article, we define a new class of operators called weak U-Dunford–Pettis, which generalizes the U-Dunford–Pettis, weak Dunford–Pettis, and order Dunford–Pettis classes, then we also give a characterization for this class, which we compare with some lattice properties, we then set out the conditions under which this class coincides with the U-Dunford–Pettis class, the weak Dunford–Pettis class, and the order Dunford–Pettis class.