Some new characterizations of Banach spaces containing $\ell^1$

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Several new characterizations of Banach spaces containing a subspace isomorphic to $\ell^1$, are obtained. These are applied to the question of when $\ell^1$ embeds in the injective tensor product of two Banach spaces.
27 pages, AMSLaTeX

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Functional Analysis

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http://salesiana.dossiersoluciones.com/handle/123456789/141190

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0710.5944
 http://arxiv.org/abs/0710.5944

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arXiv