Some strongly bounded classes of Banach spaces
Volume 193 / 2007
Fundamenta Mathematicae 193 (2007), 171-179
MSC: 03E15, 46B03.
DOI: 10.4064/fm193-2-5
Abstract
We 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 space.
