7 May
2013
7 May
'13
10:07 a.m.
This is an announcement for the paper "The minimal displacement and extremal spaces" by Krzysztof Bolibok, Andrzej Wisnicki and Jacek Wosko. Abstract: We show that both separable preduals of $L_{1}$ and non-type I $C^*$-algebras are strictly extremal with respect to the minimal displacement of $k$-Lipschitz mappings acting on the unit ball of a Banach space. In particular, every separable $C(K)$ space is strictly extremal. Archive classification: math.FA Submitted from: awisnic@hektor.umcs.lublin.pl The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1305.0246 or http://arXiv.org/abs/1305.0246