Further results on strictly Lipschitz summing operators

Author:

Belaala Maatougui1,Saadi Khalil2

Affiliation:

1. Laboratoire d’Analyse Fonctionnelle et Géométrie des Espaces , Université de M’sila , Algérie .

2. Laboratoire d’Analyse Fonctionnelle et Géométrie des Espaces , Université de M’sila , Algérie

Abstract

Abstract The aim of this paper is to 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.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Control and Optimization,Numerical Analysis,Analysis

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