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