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CATEGORIES:Cambridge Analysts' Knowledge Exchange
SUMMARY:Dvoretzky's theorem: some applications and some id
eas - James Kilbane\, DPMMS
DTSTART;TZID=Europe/London:20160504T160000
DTEND;TZID=Europe/London:20160504T170000
UID:TALK65775AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/65775
DESCRIPTION:Dvoretzky's theorem was a major landmark in the lo
cal theory of Banach spaces. Very roughly it says
that every infinite-dimensional Banach space conta
ins slices that look like finite dimensional Hilbe
rt space.\n\nAlthough the proof is involved\, we w
ill look at some simple cases and deduce the theor
em here. We will also give some results as to why
such a theorem is of interest. No familiarity with
Banach space theory will be assumed\, and the tal
k will be aimed at people with a basic knowledge o
f functional analysis.
LOCATION:MR14\, Centre for Mathematical Sciences
CONTACT:Josephine Evans
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