Some characterizations of surjective operators on banach lattices

Abstract

The concepts of compact and weakly compact operators on Banach spaces are considered and investigated in several papers. In this paper, taking idea from this notations, we consider the concept surjective compact and weakly compact operators on Banach lattices. In particular, we characterize Banach lattices on which operators must be surjective.

Keywords

• banach lattice
• semi-compact operator
• dunford-pettis operator
• l- and mweakly compact operator