[Settfa] Tuesday 10/01, Albert Kubzdela

[kubis at math.cas.cz]

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 Tuesday 10th January, 10:00am 
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 Speaker:Albert Kubzdela, Poznan University of Technology, Poland
 Title: On non-archimedean Gurarii spaces

 Abstract  
I will present some recent results, obtained jointly with Jerzy Kakol and Wieslaw Kubis, concerning spaces of almost universal disposition for the class U_FNA of all finite-dimensional normed spaces over non-archimedean valued field K which are equipped with a non-archimedean norm. It turns out that every non-archimedean Banach space of countable type over K is of almost universal disposition for the class U_FNA if and only if K is densely valued. All non-archimedean Banach spaces of almost universal disposition for the class U_FNA are epsilon-isometric and all such spaces are isometrically isomorphic if and only if K is spherically complete and  {|t| : t \in K, t \ne 0}  = (0, \infty).

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