On Order Gelfand-Phillips Property And Order Limited Completely Continuous Operators
Hassane Ansary, Larbi Zraoula, Mohamed Ech-Chad · 2024
In this paper we introduce the concept of order Gelfand-Phillips property in Banach lattices that we note o-GP property. On the other hand, we introduce and study the class of order limited completely continuous operators from an arbitrary Banach lattice E to a Banach space Y which includes the class of U-Dunford Pettis operators and that of limited completely continuous operators, and we give some of its properties.