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arxiv: math/0608550 · v1 · submitted 2006-08-22 · 🧮 math.FA

On strongly asymptotic ell_p spaces and minimality

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keywords spacesasymptoticbasisstronglybanachbehavesdimensionaldisjointly
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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.

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