I'm looking for recommendations for books (or lecture notes) that develop measure theory in sufficient detail to state and prove the Riesz representation theorem (which is the characterization of the topological duals of linear spaces of continuous functions on a completely regular topological space). In particular, I'd like to see the cases of $C(X)$ and $C_K(X)$ of all continuous functions and all compactly supported continuous functions for non-compact $X$, with the usual Fréchet and locally convex topologies, covered as well as the more common case of compact $X$.

I know that this is basically in Dunford & Schwartz, but I always find it helpful to have multiple references at hand.

**Update:** There have been a number of helpful recommendations, however they are not all explicit about which version of the theorem is covered there. I've not yet had time to check them all, so let me collect here what I know so far, by theorem strength. I'm not aiming for a complete list. But it seems useful to have *some* list, since the stronger versions of the theorem don't appear to be so well known.

* Up to $C_K(X)$, locally convex topology. Many texts.
 * Halmos, _Measure Theory_.
 * Rudin, _Real and Complex Analysis_.
 * Folland, _Real Analysis_.
* Up to $C(X)$, Fréchet topology.
 * Dunford, Schwartz, _Linear Operators, Part 1_.
 * Berg, Christensen, Ressel, _Harmonic Analysis on Semigroups_.
   A short and self contained treatment in the first two chapters.
* Up to $C(X)$, vector lattice from cone of positive units, order dual (since not a topological vector space).
 To be honest, I'm not sure what the statement of the theorem is in this case, or what the standard associated to it. However, there there appear to be some results for this case.
 * König, _Measure and Integration_. Though, hard to interpret without an in depth reading.

Please leave a comment or an answer if you know where to place other references in this list.