We prove that a biseparating map between spaces of vector-valued continuous functions is usually automatically continuous. However, we also discuss special cases when this is not true.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm155-3-3,
author = {Jes\'us Araujo and Krzysztof Jarosz},
title = {Automatic continuity of biseparating maps},
journal = {Studia Mathematica},
volume = {157},
year = {2003},
pages = {231-239},
zbl = {1056.46032},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm155-3-3}
}
Jesús Araujo; Krzysztof Jarosz. Automatic continuity of biseparating maps. Studia Mathematica, Tome 157 (2003) pp. 231-239. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm155-3-3/