<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

Pubblicato online: 14 dic 2020

Pagine: 100 - 115

Ricevuto: 08 ago 2020

Accettato: 18 nov 2020

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

Parole chiave
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

Pubblicato online: 14 dic 2020

Pagine: 100 - 115

Ricevuto: 08 ago 2020

Accettato: 18 nov 2020

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

Parole chiaveBanach 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.

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