Weighted composition operators between two different weighted sequence spaces

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