The minimal displacement and extremal spaces

preprint2013arXivOpen access

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.

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The minimal displacement and extremal spaces

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