arXiv Analytics

Sign in

arXiv:math/0012205 [math.FA]AbstractReferencesReviewsResources

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

Jesus Araujo

Published 2000-12-20, updated 2001-01-19Version 2

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.

Comments: 25 pages (AMS LaTeX). No figures. Changes with respect to the first version: one reference added and changes in the introduction
Categories: math.FA
Subjects: 47B33, 46H40, 47B38, 46E40, 46E25
Related articles: Most relevant | Search more
arXiv:2502.05533 [math.FA] (Published 2025-02-08)
Compactness and related properties of weighted composition operators on weighted BMOA spaces
arXiv:math/0106106 [math.FA] (Published 2001-06-13)
Automatic continuity of biseparating maps
arXiv:1507.05773 [math.FA] (Published 2015-07-21)
Spectra of weighted composition operators induced by automorphisms

Links

Toolbox