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arXiv · 1305.0246

The minimal displacement and extremal spaces

Krzysztof Bolibok·Andrzej Wiśnicki·Jacek Wośko
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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.

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Krzysztof Bolibok, Andrzej Wiśnicki, Jacek Wośko. 2013-05-01. The minimal displacement and extremal spaces. https://arxiv.org/abs/1305.0246

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