Some strongly bounded classes of Banach spaces

Details Some strongly bounded classes of Banach spaces Some strongly bounded classes of Banach spaces

2006-05-17

arxiv.org/abs/math/0605475v1

Mathematics

Functional Analysis

10 pages

Scientific paper

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 spaces.

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