Let $K$ be a compact, Hausdorff topological space and $E$, a Banach space.
Question. Is there a nice description of the dual of $C(K,E)$, the space of continuous functions from $K$ to $E$, with the supremum norm?
This is of course easy if either $K$ is a point, or $E$ is one-dimensional. So I suspect the general picture should be a combination of these two simpler cases. Maybe $E'$ valued Borel measures on $K$?