Automatic continuity of biseparating maps
Volume 155 / 2003
Studia Mathematica 155 (2003), 231-239
MSC: Primary 47B33; Secondary 46H40, 47B38, 46E40, 46E25.
DOI: 10.4064/sm155-3-3
Abstract
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.