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

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It 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 introduction

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Functional Analysis, 47B33 (Primary) 46H40, 47B38, 46E40, 46E25 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/60627

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0012205
 http://arxiv.org/abs/math/0012205

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arXiv