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

### 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.