[Banach] Abstract of a paper by Christian Rosendal

[Dale Alspach]

This is an announcement for the paper "Infinite asymptotic games"
by Christian Rosendal.


Abstract: We study infinite asymptotic games in Banach spaces with
an F.D.D. and prove that analytic games are determined by characterising
precisely the conditions for the players to have winning strategies.
These results are applied to characterise spaces embeddable into
$\ell_p$ sums of finite dimensional spaces, extending results of
Odell and Schlumprecht, and to study various notions of homogeneity
of bases and Banach spaces. These results are related to questions
of rapidity of subsequence extraction from normalised weakly null
sequences.

Archive classification: Functional Analysis; Logic

Mathematics Subject Classification: Primary: 46B03, Secondary 03E15

The source file(s), AsymptoticGames18.tex: 61261 bytes, is(are)
stored in gzipped form as 0608616.gz with size 19kb. The corresponding
postcript file has gzipped size 83kb.

Submitted from: rosendal at math.uiuc.edu

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 http://front.math.ucdavis.edu/math.FA/0608616

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 http://arXiv.org/abs/math.FA/0608616

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	 uget 0608616


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 to: math at arXiv.org.