Gómez Gil, Javier2023-06-212023-06-2119840030-8730https://hdl.handle.net/20.500.14352/64652This 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 conditionengjournal articlehttp://projecteuclid.org/euclid.pjm/1102711098http://projecteuclid.org/restricted access517.98Duality and reflexivity in normed spacesAnálisis funcional y teoría de operadores