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

Bougoutaia Amar, Belacel Amar, Hamdi Halima

Moroccan Journal of Pure and Applied Analysis · 2021

doi:10.2478/mjpaa-2021-0010 (opens in a new tab)

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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.

Abstract licence: CC BY-NC-ND

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