[Banach] Abstract of a paper by Florent Baudier

[Dale Alspach]

This is an announcement for the paper "Metrical characterization
of super-reflexivity and linear type of Banach   spaces" by Florent
Baudier.


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.

Archive classification:

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
78kb.

Submitted from: florent.baudier at univ-fcomte.fr

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