Kwapień 's theorem for multilinear operators

Subject Analysis
Title Kwapień 's theorem for multilinear operators
Author(s) MEZRAG Lahcene
Keywords Cohen strongly p-summing multilinear operators, p-dominated multilinear operators, Hilbert-Schmidt operators, strongly p-summing operators, p-summing operators.
Abstract

We consider the class of Cohen strongly multilinear operators and we prove some inclusion and coincidence properties with different old classes. As consequence, we give some multilinear characterizations of certain Banach spaces by using inclusion theorems similar to the linear case obtained by Kwapień.