Research Article

Lipschitz closed injective hull ideals and Lipschitz interpolative ideals

DOI: 10.2989/16073606.2024.2421890
Author(s): Rachid Yahi University of M’sila, University Pole, Algeria, Dahmane Achour University of M’sila, University Pole, Algeria, Elhadj Dahia University of M’sila, University Pole, Algeria,

Abstract

In this paper we present two constructions: the Lipschitz closed injective hull ideals and the Lipschitz interpolative ideals of a Lipschitz operator ideal. These procedures aim to construct new Lipschitz operator ideals between pointed metric spaces and Banach spaces. The new ideals are characterized by specific criteria that determine whether a Lipschitz operator belongs to them, using summability properties and interpolation formulas.

Get new issue alerts for Quaestiones Mathematicae