Summability of multilinear operators and their linearizations on Banach lattices

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. & COPY; 2023 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY-NC-ND license (http:// creativecommons .org /licenses /by -nc -nd /4 .0/).