Adjoint of sublinear operators

Abstract

Let SB(X, Y ) be the set of the bounded sublinear operators from a Banach space X into a complete Banach lattice Y . In the present paper, we will introduce the concept of adjoint sublinear operator and we show that is olso sublinear opertor and if T is pounded then the adjoint is ponded and Some properties as the linear case.We end this work by an application of this type of operators on Grothendieck theorem.