Pre-compact families of finite sets of integers and weakly null sequences in Banach spaces

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Two applications of Nash-Williams' theory of barriers to sequences on Banach spaces are presented: The first one is the $c_0$-saturation of $C(K)$, $K$ countable compacta. The second one is the construction of weakly-null sequences generalizing the example of Maurey-Rosenthal.

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Functional Analysis, Logic, 05d10, 46b20

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http://salesiana.dossiersoluciones.com/handle/123456789/130076

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0510407
 http://arxiv.org/abs/math/0510407

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arXiv