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SUMMARY:Sergei Akbarov (Higher School of Economics)
DTSTART:20210304T144500Z
DTEND:20210304T151500Z
DTSTAMP:20260421T121605Z
UID:cats2021/15
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/cats2021/15/
 ">Category of stereotype spaces</a>\nby Sergei Akbarov (Higher School of E
 conomics) as part of Additive categories between algebra and functional an
 alysis\n\n\nAbstract\nIn this talk I'll present some standard facts about 
 the category $\\operatorname{Ste}$ of stereotype spaces. These are locally
  convex spaces reflexive under the assumption that the dual space $X'$ is 
 endowed with the topology of uniform convergence on totally bounded sets i
 n $X$. It is known that this category is extremely wide\, since it contain
 s all quasicomplete barreled spaces (in particular\, all Fréchet spaces).
  At the same time $\\operatorname{Ste}$ is pre-abelian\, bicomplete and a 
 *-autonomous category. This\, in a sense\, makes $\\operatorname{Ste}$ uni
 que today among the categories of Functional Analysis in terms of its feat
 ure set and opens new unexpected connections between Functional Analysis a
 nd other areas of mathematics\, such as Algebra and Geometry.\n
LOCATION:https://researchseminars.org/talk/cats2021/15/
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