New results on MS-Lipschitz summing operators

Abstract

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 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.