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Mathematics   > Home   > Advances in Pure and Applied Mathematics   > Issue 2 (March 2022)   > Article

Weighted composition operators between two different weighted sequence spaces

Opérateurs de composition pondérés d’espaces de suites à poids


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



Published on 14 March 2022   DOI : 10.21494/ISTE.OP.2022.0811

Abstract

Résumé

Keywords

Mots-clés

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