# [Settfa] Tuesday 10/01, Albert Kubzdela

kubis at math.cas.cz kubis at math.cas.cz
Thu Jan 5 09:00:03 CET 2017

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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&nbsp;and Wieslaw Kubis, concerning spaces of almost universal&nbsp;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&nbsp;that every&nbsp;non-archimedean Banach space of countable type over K is of&nbsp;almost universal disposition for the class U_FNA if and only&nbsp;if K is densely valued. All non-archimedean Banach spaces of&nbsp;almost universal disposition for the class U_FNA are&nbsp;epsilon-isometric and all such spaces are isometrically isomorphic if&nbsp;and only if K is spherically complete and &nbsp;{|t| : t \in K, t \ne 0} &nbsp;= (0, \infty).