Reference request regarding Mackey topology I would like to ask for some request on the relationship between Mackey topology and the weak topology. Recently, I have read quite some statements where a property in weak topology (such as compactness) implies that in Mackey topology. The basic connection I have now is that the topology is identitical if we are talking about an equicontinuous subset. However, I have a feeling that there must be something more. The reference I got is schaefer, Topological Vector Space and Bourbaki, Topological Vector Space. However, both of the books are quite brief on this matter. 
Thanks in advance.

The basic reference is Topological Vector Space, the second is Bourbaki's classic. Other books on Topological Spaces also can be mentioned. However, I want to mention another direction which might interest you.
The Banach Lattice Theory (or more general form), makes it very easy to find Mackey topology. The most important space $L$-space and $M$-space can be identify with $L_1$ and $C(X)$, therefore, it is extremely easy get from weak to Mackey thanks to Banach–Alaoglu theorem
, the basic reference for lattice theory is enter link description here. However, it doesn't reveal the full power. For the full power, see this notorious hard-to-read book, from chatper 1 to chapter 10, as well as the appendix.
