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arXiv · 1503.09088

A remark on spaces of affine continuous functions on a simplex

Emanuele Casini·Enrico Miglierina·Łukasz Piasecki
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Abstract

We present an example of an infinite dimensional separable space of affine continuous functions on a Choquet simplex that does not contain a subspace linearly isometric to $c$. This example disproves a result stated in M. Zippin. On some subspaces of Banach spaces whose duals are $L_1$ spaces. Proc. Amer. Math. Soc. 23, (1969), 378-385.

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Emanuele Casini, Enrico Miglierina, Łukasz Piasecki. 2015-03-31. A remark on spaces of affine continuous functions on a simplex. https://arxiv.org/abs/1503.09088

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