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

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

2007-10-31

arxiv.org/abs/0710.5944v1

Mathematics

Functional Analysis

27 pages, AMSLaTeX

Scientific paper

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.

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