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SUMMARY:Pavlos Motakis (York University)
DTSTART:20230324T150000Z
DTEND:20230324T170000Z
DTSTAMP:20260727T170542Z
UID:AthensFAOA/52
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/AthensFAOA/5
 2/">Separable spaces of continuous functions as Calkin algebras</a>\nby Pa
 vlos Motakis (York University) as part of Functional analysis and operator
  algebras in Athens\n\n\nAbstract\nFor a Banach space $X$ denote $\\mathca
 l{L}(X) = \\{T:X\\to X\\text{ linear and bounded}\\}$ and $\\mathcal{K}(X)
  = \\{T\\in\\mathcal{L}(X): T\\text{ compact}\\}$. The Calkin algebra of $
 X$ is the Banach algebra $\\mathcal{C}al(X) = \\mathcal{L}(X)/\\mathcal{K}
 (X)$. A question that has gathered attention in recent years is what unita
 l Banach algebras admit representations as Calkin algebras.  We discuss de
 velopments in this topic as well as a recent contribution\, namely that fo
 r every compact metric space $K$ there exists a Banach space $X$ so that $
 \\mathcal{C}al(X)$ coincides isometrically with $C(K)$ as a Banach algebra
 .\n
LOCATION:https://researchseminars.org/talk/AthensFAOA/52/
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