ON THE STRONGLY $p−$SUMMING SUBLINEAR OPERATORS

Abstract

Let $\mathcal{SB}(X,Y)$ be the set of the bounded sublinear operators from a Banach space $X$ into a complete Banach lattice $Y$. In the present paper, we introduce to this category the concept of strongly $p-$summing sublinear operators. We give an analogue to Pietsch's domination theorem and study some comparisons between linear and sublinear operators.