Geometry of Banach spaces and biorthogonal systems

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A separable Banach space X contains $\ell_1$ isomorphically if and only if X has a bounded wc_0^*-stable biorthogonal system. The dual of a separable Banach space X fails the Schur property if and only if X has a bounded wc_0^*-biorthogonal system.

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Functional Analysis, 46B20 (primary) 46B25, 46B99 (secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/79448

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9911156
 http://arxiv.org/abs/math/9911156

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arXiv