Automatic continuity and weighted composition operators between spaces of vector-valued differentiable functions
泛函分析
2007-05-23 v2
摘要
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.
引用
@article{arxiv.math/0012205,
title = {Automatic continuity and weighted composition operators between spaces of vector-valued differentiable functions},
author = {Jesus Araujo},
journal= {arXiv preprint arXiv:math/0012205},
year = {2007}
}
备注
25 pages (AMS LaTeX). No figures. Changes with respect to the first version: one reference added and changes in the introduction