Tuesday 22/11, Jakub Rondoš

[kubis at math.cas.cz]

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 Tuesday 22nd November, 10:00am 
 
  Place: IM in konírna 

 
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 Speaker:Jakub Rondoš, Charles University
 Title: Isomorphisms of $\mathcal{C}(K, E)$ spaces and the Szlenk index of $\mathcal{C}(K)$

 Abstract  

 In the last years it has been found out that isomorphisms of Banach spaces of the form $\mathcal{C}(K, E)$, where $K$ is a compact Hausdorff space and $E$ is a Banach space not containing an isomorphic copy of $c_0$, behave in some way similarly as isomorphisms of $\mathcal{C}(K)$ spaces. In this talk, a new result in this spirit will be presented, showing that isomorphisms of $\mathcal{C}(K, E)$ spaces preserve the Szlenk index of $\mathcal{C}(K)$. The talk is based on joint results with Jacopo Somaglia.

 For more information see the seminar web page at 
 https://calendar.math.cas.cz/set-theory-and-analysis-actual .