This is an announcement for the paper "On strongly asymptotic $\ell_p$ spaces and minimality" by S. J. Dilworth, V. Ferenczi, Denka Kutzarova and E. Odell.
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.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B20, 46B45
Remarks: 12 pages, AMSLaTeX
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Submitted from: combs@mail.ma.utexas.edu
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