Unconditional structures of weakly null sequences

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The following dichotomy is established for a normalized weakly null sequence in a Banach space: Either every subsequence admits a convex block subsequence equivalent to the unit vector basis of c, the Banach space of null sequences under the supremum norm, or there exists a subsequence which is boundedly convexly complete. This result generalizes J. Elton's dichotomy on weakly null sequences.
44 pages, AMS-LaTex

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Functional Analysis, 46B03

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http://salesiana.dossiersoluciones.com/handle/123456789/79340

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9911019
 http://arxiv.org/abs/math/9911019

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arXiv