Banach-Stone Theorems for maps preserving common zeros

Denny H. Leung, Wee-Kee Tang

Let $X$ and $Y$ be completely regular spaces and $E$ and $F$ be Hausdorff topological vector spaces. We call a linear map $T$ from a subspace of $C(X,E)$ into $C(Y,F)$ a \emph{Bana…