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CATEGORIES:Category Theory Seminar
SUMMARY:Of operator algebras and operator spaces - Jeff Eg
ger (University of Edinburgh)
DTSTART;TZID=Europe/London:20090224T141500
DTEND;TZID=Europe/London:20090224T154500
UID:TALK16773AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/16773
DESCRIPTION:One of the recent advances in Functional Analysis
has been the introduction of the notion of an (abs
tract) operator space. This can be seen as a refin
ement of the notion of a Banach space which (among
other things) solves the problem that not every B
anach algebra is an operator algebra. Which theore
ms about Banach spaces generalise to operator spac
es? This question would be easier to answer if one
could prove Pestov's Conjecture: that there exist
s a Grothendieck topos whose internal Banach space
s are equivalent to operator spaces. I will report
on progress towards proving Pestov's conjecture.
LOCATION:MR3\, Centre for Mathematical Sciences
CONTACT:Richard Garner
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