Research Article

Lipschitz closed injective hull ideals and Lipschitz interpolative ideals

Published in: Quaestiones Mathematicae
Volume 48 , issue 4 : Entrepreneurship and Africa’s Cultural Context , 2024 , 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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