Domination and Kwapień’s factorization theorems for positive Cohen p–nuclear m–linear operators

Abstract

In this paper, we introduce and study the concept of positive Cohen p-nuclear multilinear operators between Banach lattice spaces. We prove a natural analog to the Pietsch domination theorem for this class. Moreover, we give like the Kwapień’s factorization theorem. Finally, we investigate some relations with another known classes.

Keywords

• banach lattice
• cohen positive strongly p–summing multilinear operators
• kwapień’s factorization theorem
• pietsch domination theorem
• positive p–summing operators
• tensor norm
• 46a20
• 46a32
• 46b42
• 47a07
• 47b10
• 47b65