arXiv subjects

Maatougui Belaala

Publications and source records attributed to Maatougui Belaala.

3 recordsLinked to original sources

arXiv2023

New results on MS-Lipschitz summing operators

This paper focuses on the study of MS-Lipschitz p-summing operators, which were initially defined by the authors in 14. Our objective is to establish relationships between T and its linearizations, namely T and T. Additionally, we extend our investigation by introducing a new definition in the category of Lipschitz mappings defined on metric spaces, known as MS-Cohen Lipschitz p-summing. We provide several results and characterizations for this new concept.

math.FA↗

arXiv2017

Further results on strictly Lipschitz summing operators

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, we adapt this definition for constructing other classes of Lipschitz mappings which are called strictly Lipschitz p-nuclear and strictly Lipschitz (p,r,s)-summing operators. Some interesting properties and factorization results are obtained for these new classes.

math.FA↗

arXiv2017

Cohen factorable p-nuclear multilinear operators

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 category of p-nuclear operators. Therefore, we will construct other multilinear and polynomial ideals for which the most valuable results of the theory of p-nuclear linear operators are available, namely the Pietsch domination theorem and the well known factorization given by Cohen and Kwapien for p-nuclear operators.

math.FA↗