On Banach Spaces of Large Density Character and Unconditional Sequences

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It is shown that any Banach space X of sufficiently large density contains an (infinite) unconditional sequence and a separable quotient. If a density of X is a weakly compact cardinal, then X contains an unconditional sequence of cardinality that is equal to the density of X
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Functional Analysis, 46B26 (Primary) 46B03, 46B04, 46B07, 46B20 03C65, 03C75 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/64274

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0206106
 http://arxiv.org/abs/math/0206106

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arXiv