Abstract of a paper by N. L. Randrianarivony
This is an announcement for the paper "Characterization of quasi-Banach spaces which coarsely embed into a Hilbert space" by N. L. Randrianarivony. Abstract: A map f between two metric spaces (X,d_1) and (Y,d_2) is called a coarse embedding of X into Y if there exist two nondecreasing functions phi_1, phi_2:[0,\infty) --> [0,\infty) such that: phi_1(d_1(x,y)) \leq d_2(f(x),f(y)) \leq phi_2(d_1(x,y)) for all x, y in X, and phi_1(t) tends to \infty as t tends to \infty. We characterize those quasi-Banach spaces that have a coarse embedding into a Hilbert space. Archive classification: Functional Analysis; Metric Geometry Remarks: 3 pages The source file(s), LovaGenAMM.4.tex: 6257 bytes, is(are) stored in gzipped form as 0411269.gz with size 3kb. The corresponding postcript file has gzipped size 25kb. Submitted from: nirina@math.tamu.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0411269 or http://arXiv.org/abs/math.FA/0411269 or by email in unzipped form by transmitting an empty message with subject line uget 0411269 or in gzipped form by using subject line get 0411269 to: math@arXiv.org.
participants (1)
-
Dale Alspach