2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/112837We show that the classes of separable reflexive Banach spaces and of spaces with separable dual are strongly bounded. This gives a new proof of a recent result of E. Odell and Th. Schlumprecht, asserting that there exists a separable reflexive Banach space containing isomorphic copies of every separable uniformly convex Banach spaces.10 pagesFunctional Analysis03E15; 46B03Some strongly bounded classes of Banach spacestext