9 papers · 1 filter
Tensorial representations of positive weakly (q,r)-dominated multilinear operators
Abdelaziz Belaada, Adel Bounabab, Athmane Ferradi +1
We introduce and study the class of positive weakly (q,r)-dominated multilinear operators between Banach lattices. This notion extends classical domination and summability concepts…
Positive m-homogeneous polynomial ideals
Adel Bounabab, Khalil Saadi
We introduce and study the concept of positive polynomial ideals between Banach lattices. The paper develops the basic principles of these classes and presents methods for construc…
Composition ideals of Lip-Linear operators and a Hilbert space characterization
Athmane Ferradi, Khalil Saadi
In this paper, we investigate classes of Lip-linear operators constructed using the composition ideal method. We focus on two fundamental linear operator ideals, -summing and st…
Lip-Linear operators and their connection to Lipschitz tensor products
Athmane Ferradi, Khalil Saadi
The linear operators defined on the Lipschitz projective tensor product of X and E motivate the study of a distinct class of operators acting on the cartesian produc X E. This clas…
Positive ideals of multilinear operators
Athmane Ferradi, Abdelaziz Belaada, Khalil Saadi
We introduce and explore the concept of positive ideals for both linear and multilinear operators between Banach lattices. This paper delineates the fundamental principles of these…
New results on MS-Lipschitz summing operators
Maatougui Belaala, Athmane Ferradi, Khalil Saadi
This paper focuses on the study of MS-Lipschitz p-summing operators, which were initially defined by the authors in <cite>14. Our objective is to establish relationships between T…