[Banach] Abstract of a paper by Florent Baudier
alspach at www.math.okstate.edu
Tue Apr 17 08:22:25 CDT 2007
This is an announcement for the paper "Metrical characterization
of super-reflexivity and linear type of Banach spaces" by Florent
Abstract: We prove that a Banach space X is not super-reflexive if
and only if the hyperbolic infinite tree embeds metrically into X.
We improve one implication of J.Bourgain's result who gave a metrical
characterization of super-reflexivity in Banach spaces in terms of
uniforms embeddings of the finite trees. A characterization of the
linear type for Banach spaces is given using the embedding of the
infinite tree equipped with a suitable metric.
Mathematics Subject Classification: 46B20; 51F99
Remarks: to appear in Archiv der Mathematik
The source file(s), , is(are) stored in gzipped form as 0704.1955.gz
with size 8kb. The corresponding postcript file has gzipped size
Submitted from: florent.baudier at univ-fcomte.fr
The paper may be downloaded from the archive by web browser from
or by email in unzipped form by transmitting an empty message with
or in gzipped form by using subject line
to: math at arXiv.org.
More information about the Banach