Pettis integration in locally convex spaces (Q1385979)

Here we find a very well written article on Pettis integration of functions with values in Hausdorff locally convex topological vector spaces. What the authors do is to translate some of the basic extant results about Pettis integrable functions from the Banach space domain to the always swampy domain of locally convex spaces. Being succesful, and being the proofs delicate at some points, the only thing that the reader shall miss is a surprising result holding in the locally convex setting but which is either false or meaningless in the classical Banach space setting.