On strongly asymptotic $\ell_p$ spaces and minimality

Details On strongly asymptotic $\ell_p$ spaces and minimality On strongly asymptotic $\ell_p$ spaces and minimality

2006-08-22

arxiv.org/abs/math/0608550v1

Mathematics

Functional Analysis

12 pages, AMSLaTeX

Scientific paper

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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