On strongly asymptotic $\ell_p$ spaces and minimality
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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.
12 pages, AMSLaTeX
12 pages, AMSLaTeX