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SUMMARY:Anar Dosi (Middle East Technical University\, Cyprus)
DTSTART:20230412T170000Z
DTEND:20230412T180000Z
DTSTAMP:20260420T053237Z
UID:NYC-NCG/129
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NYC-NCG/129/
 ">Projective positivity of the function systems</a>\nby Anar Dosi (Middle 
 East Technical University\, Cyprus) as part of Noncommutative geometry in 
 NYC\n\n\nAbstract\nThe present talk is devoted to the projective positivit
 y in the category of function systems. It is an operator positivity occurr
 ed in the quantization problems of the operator systems. It turns out that
  every $∗$-(poly)normed topology compatible with a duality results in th
 e (local) projective positivity given by a filter base of the unital cones
  with its separated intersection. We describe the (local) projective posit
 ivity of the (local) $L^{p}$-spaces given by a bounded (or unbounded) posi
 tive Radon measure on a locally compact topological space. The geometry of
  the related state spaces is described in the case of $L^{p}$-spaces\, Sch
 atten matrix spaces\, and $L^{p}$-spaces of a finite von Neumann algebra.\
 n
LOCATION:https://researchseminars.org/talk/NYC-NCG/129/
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