[Banach] Abstract of a paper by Shin-ichi Ohta

[Dale Alspach]

This is an announcement for the paper "Markov type of Alexandrov
spaces of nonnegative curvature" by Shin-ichi Ohta.


Abstract: We prove that Alexandrov spaces $X$ of nonnegative curvature
have Markov type 2 in the sense of Ball. As a corollary, any Lipschitz
continuous map from a subset of $X$ into a 2-uniformly convex Banach
space is extended as a Lipschitz continuous map on the entire space
$X$.

Archive classification: math.MG math.FA

Mathematics Subject Classification: 46B20, 53C21, 60J10

Remarks: 16 pages

The source file(s), type+.tex: 40468 bytes, is(are) stored in gzipped
form as 0707.0102.gz with size 11kb. The corresponding postcript
file has gzipped size 103kb.

Submitted from: sohta at math.kyoto-u.ac.jp

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 http://front.math.ucdavis.edu/0707.0102

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 http://arXiv.org/abs/0707.0102

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