<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In this paper, we introduce and study the concept of positive Cohen <italic>p</italic>-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.</p></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.

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

Laboratory of Pure and Applied Mathematics (LPAM)

Moroccan Journal of Pure and Applied Analysis

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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

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...

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

Published Online: Dec 14, 2020

Page range: 100 - 115

Received: Aug 08, 2020

Accepted: Nov 18, 2020

DOI: https://doi.org/10.2478/mjpaa-2021-0010

Keywords
Banach lattice, Cohen positive strongly summing multilinear operators, Kwapień’s factorization theorem, Pietsch domination theorem, Positive summing operators, Tensor norm

© 2020 Amar Bougoutaia et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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

Published Online: Dec 14, 2020

Page range: 100 - 115

Received: Aug 08, 2020

Accepted: Nov 18, 2020

DOI: https://doi.org/10.2478/mjpaa-2021-0010

KeywordsBanach lattice, Cohen positive strongly summing multilinear operators, Kwapień’s factorization theorem, Pietsch domination theorem, Positive summing operators, Tensor norm

© 2020 Amar Bougoutaia et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Banach lattice, Cohen positive strongly summing multilinear operators, Kwapień’s factorization theorem, Pietsch domination theorem, Positive summing operators, Tensor norm