$C(\alpha )$ preserving operators on $C(K)$ spaces
$C(\alpha )$ preserving operators on $C(K)$ spaces
Let $A:C(K) \to X$ be a bounded linear operator where $K$ is a compact Hausdorff space and $X$ is a separable Banach space. Sufficient conditions are given for $A$ to be an isomorphism (into) when restricted to a subspace $Y$ of $C(K)$, such that $Y$ is isometrically isomorphic to a …