The class of b-AM-compact operators

Abstract

We introduce and study a new class of operators that we call b-AMcompact operators, and we establish necessary and sufficient conditions on the duality property for this class of operators. As interesting consequences, we obtain some characterizations of discrete KB-spaces.

Keywords: Order continuous norm, b-AM-compact operator, KB-space, discrete Banach lattice

Quaestiones Mathematicae 36(2013), 309–319