My general question would be - how do I show that a certain space is a subspace of a topological bidual space?
More specific - if I have H as a locally compact Hausdorff space, and E as a locally convex topological vector space, and $C_0(H, E)$ is a space of continuous E-valued functions which vanish at $ \infty $, how would I show that a certain space is a subspace of the bidual space of $C_0(H, E)$? It is treated as obvious in my textbook, but I can't seem to connect the dots.