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

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

2000-12-20

arxiv.org/abs/math/0012205v2

Mathematics

Functional Analysis

25 pages (AMS LaTeX). No figures. Changes with respect to the first version: one reference added and changes in the introducti

Scientific paper

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.

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