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

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@math.kyoto-u.ac.jp

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