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On strongly asymptotic $\ell_p$ spaces and minimality

S. J. Dilworth·V. Ferenczi·Denka Kutzarova·E. Odell
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Abstract

We study Banach spaces X with a strongly asymptotic l_p basis (any disjointly supported finite set of vectors far enough out with respect to the basis behaves like l_p) which are minimal (X embeds into every infinite dimensional subspace). In particular such spaces embed into l_p.

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S. J. Dilworth, V. Ferenczi, Denka Kutzarova, E. Odell. 2006-08-22. On strongly asymptotic $\ell_p$ spaces and minimality. https://arxiv.org/abs/math/0608550

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