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Some strongly bounded classes of Banach spaces

Pandelis Dodos·Valentin Ferenczi
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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 spaces.

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Pandelis Dodos, Valentin Ferenczi. 2006-05-17. Some strongly bounded classes of Banach spaces. https://arxiv.org/abs/math/0605475

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