[Banach] Abstract of a paper by S. J. Dilworth, V. Ferenczi, Denka Kutzarova and E. Odell

[Dale Alspach]

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

The source file(s), dfko010206-archive.tex: 46987 bytes, is(are)
stored in gzipped form as 0608550.gz with size 15kb. The corresponding
postcript file has gzipped size 71kb.

Submitted from: combs at mail.ma.utexas.edu

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 http://arXiv.org/abs/math.FA/0608550

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