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Mathématiques   > Accueil   > Avancées en Mathématiques Pures et Appliquées   > Numéro 2 (Mars 2022)   > Article

Opérateurs de composition pondérés d’espaces de suites à poids

Weighted composition operators between two different weighted sequence spaces


Carlos Carpintero
Corporación Universitaria del Caribe CECAR
Colombia

Julio C. Ramos-Fernández
Universidad Distrital Francisco José de Caldas
Colombia

José E. Sanabria
Universidad de Sucre
Colombia



Publié le 14 mars 2022   DOI : 10.21494/ISTE.OP.2022.0811

Résumé

Abstract

Mots-clés

Keywords

We give simple criteria which characterize the symbols $$$u$$$, $$$\varphi$$$ defining continuous and compact weighted composition operators $$$W_{u,\varphi}$$$ acting between two different weighted sequence spaces. Also we characterize when $$$W_{u,\varphi}$$$ is bounded below and when it has closed range.

We give simple criteria which characterize the symbols $$$u$$$, $$$\varphi$$$ defining continuous and compact weighted composition operators $$$W_{u,\varphi}$$$ acting between two different weighted sequence spaces. Also we characterize when $$$W_{u,\varphi}$$$ is bounded below and when it has closed range.

Banach sequence spaces weighted composition operators compactness

Banach sequence spaces weighted composition operators compactness