On a question of Haskell P. Rosenthal

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We consider a normalized basis in a Banach space with the following property: any normalized block sequence of the basis has a subsequence equivalent to the basis. We show that under uniformity or other natural assumptions, a basis with this property is equivalent to the unit vector basis of $c_0$ or $\ell_p$. We also address an analogous problem for spreading models.
14 pages

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Functional Analysis, 46B20; 46B15

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http://salesiana.dossiersoluciones.com/handle/123456789/65964

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0212166
 http://arxiv.org/abs/math/0212166

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arXiv