[Banach] Abstract of a paper by Christian Rosendal
alspach at www.math.okstate.edu
Thu Jul 8 09:01:52 CDT 2004
This is an announcement for the paper "Incomparable, non isomorphic and
minimal Banach spaces" by Christian Rosendal.
Abstract: A Banach space contains either a minimal subspace or a
continuum of incomparable subspaces. General structure results for
analytic equivalence relations are applied in the context of Banach
spaces to show that if $E_0$ does not reduce to isomorphism of the
subspaces of a space, in particular, if the subspaces of the space admit
a classification up to isomorphism by real numbers, then any subspace
with an unconditional basis is isomorphic to its square and hyperplanes
and has an isomorphically homogeneous subsequence.
Archive classification: Functional Analysis; Logic
The source file(s), ArchiveIncomparable.tex: 57150 bytes, is(are) stored
in gzipped form as 0407111.gz with size 19kb. The corresponding postcript
file has gzipped size 81kb.
Submitted from: rosendal at ccr.jussieu.fr
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