Subadditive separating maps between regular Banach function algebras

摘要

In this note we extend the results of cite{BN2} concerning subadditive separating maps from $A=C(X)$ to $B=C(Y)$, for compact Hausdorff spaces $X$ and $Y$, to the case where $A$ and $B$ are regular Banach function algebras (not necessarily unital) with $A$ satisfying Ditkin's condition. In particular we describe the general form of these maps and get a result on continuity of separating linear functionals.