Denny H. Leung

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math.FA2009

Biseparating maps on generalized Lipschitz spaces

Denny H. Leung

Let $X, Y$ be complete metric spaces and $E, F$ be Banach spaces. A bijective linear operator from a space of $E$ -valued functions on $X$ to a space of $F$ -valued functions on $Y$ …

math.FA2009

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…