Automatic continuity and weighted composition operators between spaces of vector-valued differentiable functions

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/60627It is proved that every linear biseparating map between spaces of vector-valued differentiable functions is a weighted composition map. As a consequence, such a map is always continuous.25 pages (AMS LaTeX). No figures. Changes with respect to the first version: one reference added and changes in the introductionFunctional Analysis47B33 (Primary) 46H40, 47B38, 46E40, 46E25 (Secondary)Automatic continuity and weighted composition operators between spaces of vector-valued differentiable functionstext