10 citations · 10 across the 10 of their papers we have counts for
12 papers
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…
Cohen strongly p-summing holomorphic mappings on Banach spaces
A. Jiménez-Vargas, K. Saadi, J. M. Sepulcre
Let and be complex Banach spaces, be an open subset of and . We introduce and study the notion of a Cohen strongly -summing holomorphic mappin…
Further results on strictly Lipschitz summing operators
Maatougui Belaala, Khalil Saadi
We give some new characterizations of strictly Lipschitz p-summing operators. These operators have been introduced in order to improve the Lipschitz p-summing operators. Therefore,…
Cohen factorable p-nuclear multilinear operators
Maatougui Belaala, Khalil Saadi
Basing on the work of Pellegrino et al. on factorable strongly p-summing multilinear operators, we will continue study this class of operators and borrowing the same idea for the c…
On the composition ideals of Lipschitz mappings
Khalil Saadi
We study in this paper some property of Lipschitz mappings which admit factorization through an operator ideal. We try to construct Lipschitz cross-norms from known tensor norms in…
Some properties of Lipschitz strongly p-summing operators
Khalil Saadi
We consider the space of molecules endowed with the transpose version of the Chevet-Saphar norm and we identify its dual space with the space of Lipschitz strongly p-summing operat…
Geometric properties of some totally ordered compact sets
Mohammad Daher, Khalil Saadi
In this paper, we show that there are a totally ordered compact K separable (K is Rosenthal compact set), a Hausdorff topology T' on C(K) and two closed subspaces Y1, Y2 of (C(K);…