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SUMMARY:Anna Pelczar-Barwacz (Jagiellonian University)
DTSTART:20230505T140000Z
DTEND:20230505T150000Z
DTSTAMP:20260404T131140Z
UID:BanachWebinars/77
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BanachWebina
 rs/77/">A Banach space with an infinite dimensional reflexive quotient ope
 rator algebra $L(X)/SS(X)$</a>\nby Anna Pelczar-Barwacz (Jagiellonian Univ
 ersity) as part of Banach spaces webinars\n\n\nAbstract\nI will discuss me
 thod of constructing a Banach space $X$ such that the algebra of bounded o
 perators $L(X)$ is a direct sum of an infinite dimensional reflexive Banac
 h space $V$ and the operator ideal of strictly singular operators $SS(X)$.
  \nThe space $V$ is spanned by an unconditional basic sequence $(I_s)_{s=0
 }^\\infty$ where $I_0$ is the identity on $X$\, whereas each $I_s\, s=1\,2
 \,...$ is a projection on some subspace $X_s$ of $X$. The multiplication o
 n $V$ is defined naturally: $V$ is the unitization of the subalgebra of $L
 (X)$ spanned by $(I_s)_{s=1}^\\infty$ with the pointwise multiplication.\n
LOCATION:https://researchseminars.org/talk/BanachWebinars/77/
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