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

Amar Bougoutaia; Amar Belacel; Halima Hamdi

doi:10.2478/mjpaa-2021-0010

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

Moroccan Journal of Pure and Applied Analysis

Volume 7 (2021): Issue 1 (January 2021)

By: Amar Bougoutaia, Amar Belacel and Halima Hamdi

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.

References

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Articles in this issue

DOI: https://doi.org/10.2478/mjpaa-2021-0010 | Journal eISSN: 2351-8227

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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

Keywords:

Banach lattice,

Cohen positive strongly p–summing multilinear operators,

Kwapień’s factorization theorem,

Pietsch domination theorem,

Positive p–summing operators,

Tensor norm

Related subjects:

Mathematics,

Analysis,

Differential equations and dynamical systems,

Probability and statistics,

Numerical and computational mathematics

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

Volume 7 (2021): Issue 1 (January 2021)