Summability of multilinear operators and their linearizations on Banach lattices

Abstract

Among all the extensions of absolutely summing linear operators to the non linear setting, the class of factorable strongly p-summing multilinear operators or polynomials preserves all the fundamental properties of the linear theory. In this paper we analyse factorable strongly p-summability for non linear operators in the context of Banach lattices and relate it to the linear theory.