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

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

Open Access
|Dec 2020

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.

Language: English
Page range: 100 - 115
Submitted on: Aug 8, 2020
Accepted on: Nov 18, 2020
Published on: Dec 14, 2020
Published by: Sciendo
In partnership with: Paradigm Publishing Services
Publication frequency: 3 issues per year

© 2020 Amar Bougoutaia, Amar Belacel, Halima Hamdi, published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.