[Banach] Abstract of a paper by S. J. Dilworth, V. Ferenczi, Denka Kutzarova and E. Odell
alspach at www.math.okstate.edu
Wed Aug 23 11:49:57 CDT 2006
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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