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SUMMARY:Dvoretzky's theorem: some applications and some ideas - James Kilb
 ane\, DPMMS
DTSTART:20160504T150000Z
DTEND:20160504T160000Z
UID:TALK65775@talks.cam.ac.uk
CONTACT:Josephine Evans
DESCRIPTION:Dvoretzky's theorem was a major landmark in the local theory o
 f Banach spaces. Very roughly it says that every infinite-dimensional Bana
 ch space contains slices that look like finite dimensional Hilbert space.\
 n\nAlthough the proof is involved\, we will look at some simple cases and 
 deduce the theorem here. We will also give some results as to why such a t
 heorem is of interest. No familiarity with Banach space theory will be ass
 umed\, and the talk will be aimed at people with a basic knowledge of func
 tional analysis.
LOCATION:MR14\, Centre for Mathematical Sciences
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