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SUMMARY:Coarse Lipschitz embeddings and asymptotic structure of Banach Spa
 ces - Lancien\, G (Franche-Comte)
DTSTART:20110316T151500Z
DTEND:20110316T161500Z
UID:TALK30261@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:The linear properties of Banach spaces considered in this talk
  will be the ex-\nistence of an equivalent asymptotically uniformly smooth
  (or convex) equivalent\nnorm. We shall study the stability of these prope
 rties under various non linear\ntransformations\, but we will concentrate 
 on the coarse Lipschitz embeddings (i.e.\nmaps that are bi-Lipschitz for v
 ery large distances). These questions in relation\nwith uniform asymptotic
  smoothness are now quite well understood. We will try\nto present the pro
 gress made last year by N.J. Kalton on the stability of uniform\nasymptoti
 c convexity under coarse embeddings. We will focus on the use of some\nfun
 damental metric graphs or trees in the subject\, and present a few open qu
 estions\nthat we nd interesting.\n
LOCATION:Seminar Room 1\, Newton Institute
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