[Settfa] [Set Theory]Tuesday 7 Jan, Zdeněk Silber

[fabian]

Hi Wieslave,

Požehnaný Nový rok Tobě i celé rodině!

Píši Ti, že ředitel potřebuje seznam vizitorů, co jsme loni měli v 
oddělení :
alespoň jméno a adresa u každého.
Prosím, pošli to Mirovi co nejdříve (deadline byl včera).

Díky předem,

Marián


> Tuesday, 7 January 2025 - 10:00 to 11:30
> Place: IM, konírna
> 
>  Speaker: Zdeněk Silber, IM CAS
> Title: Weak compactness in Lipschitz-free spaces over superreflexive
> spaces
> 
>  Abstract
> Inspired by the famous result of Rosenthal, that a subspace of L_1
> that does not contain l_1 is superreflexive, we define property (R) of
> Banach spaces -- a Banach space has (R) if and only if every weakly
> precompact (that is bounded not containing a sequence equivalent to
> the l_1 basis) subset is relatively super weakly compact (this is a
> localisation of superreflexivity in the same way as relative weak
> compactness is a localisation of reflexivity). We investigate property
> (R) and finally show that Lipschitz-free spaces over superreflexive
> spaces have property (R) proving some new non-embeddability results.
> The proof is based on the proof of weak sequential completeness of
> such spaces by Kochanek and Pernecká and an appropriate version of
> compact reduction in the spirit of Aliaga, Nous, Petitjean and
> Procházka.
> 
>  For more information see the seminar web page at
> https://www.math.cas.cz/index.php/events/seminar/6
> 
>  Set Theory and Analysis mailing list
> settfa at math.cas.cz
> https://list.math.cas.cz/listinfo/settfa@math.cas.cz
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