Among all the extensions of absolutely summing linear operators to the non linear setting, the class of factorable strongly p-summing multilinear operators or polynomials preserves all …
In this article, we establish new relationships involving the class of Cohen positive strongly $ p $-summing multilinear operators. Furthermore, we introduce a new class of multilinear …
A Bougoutaia, A Belacel, H Hamdi - Moroccan Journal of Pure and …, 2021 - sciendo.com
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 …
The aim of this work is to give and study the notion of Cohen positive p-summing multilinear operators. We prove a natural analog of the Pietsch domination theorem for these classes …
In the present paper, we introduce a new concept of positive p-majorizing operators as a dual notion of positive p-summing operators and generalize the concept of majorizing …
In the present paper we introduce a method for generating ideals of linear and multilinear operators from what we call generalized left and right operator ideals, that we discuss with p …
A Ferradi, A Belaada, K Saadi - arXiv preprint arXiv:2402.00618, 2024 - arxiv.org
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 …
We introduce the concepts of Cohen positive strongly p‐summing and positive p‐dominated m‐homogeneous polynomials. The version of Pietsch's domination theorem for the first class …