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SUMMARY:Of operator algebras and operator spaces - Jeff Egger (University 
 of Edinburgh)
DTSTART:20090224T141500Z
DTEND:20090224T154500Z
UID:TALK16773@talks.cam.ac.uk
CONTACT:Richard Garner
DESCRIPTION:One of the recent advances in Functional Analysis has been the
  introduction of the notion of an (abstract) operator space. This can be s
 een as a refinement of the notion of a Banach space which (among other thi
 ngs) solves the problem that not every Banach algebra is an operator algeb
 ra. Which theorems about Banach spaces generalise to operator spaces? This
  question would be easier to answer if one could prove Pestov's Conjecture
 : that there exists a Grothendieck topos whose internal Banach spaces are 
 equivalent to operator spaces. I will report on progress towards proving P
 estov's conjecture.
LOCATION:MR3\, Centre for Mathematical Sciences
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