%0 Journal Article %A Gómez Gil, Javier %T On local convexity of bounded weak topologies on banach-spaces %D 1984 %@ 0030-8730 %U https://hdl.handle.net/20.500.14352/64652 %X This paper is devoted to the question "Under what conditions on a Banach space E is it true that the bounded weak topology is locally convex?". The theorem of Banach and Dieudonné shows that reflexivity is a sufficient condition. The author proves that reflexivity is also a necessary condition %~