Some strongly bounded classes of Banach spaces

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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.
10 pages

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Functional Analysis, 03E15; 46B03

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http://salesiana.dossiersoluciones.com/handle/123456789/112837

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0605475
 http://arxiv.org/abs/math/0605475

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arXiv