Research Article

Lipschitz closed injective hull ideals and Lipschitz interpolative ideals

Published in: Quaestiones Mathematicae
Volume 48 , issue 4 , 2025 , pages: 685–701

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

Keywords: Primary: 47L20 , 47H99 , Secondary: 47B10 , 26A16 , Lipschitz operator ideals , closed injective hull , interpolative ideals

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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.

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