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arXiv 2015-03-31 0 views

A remark on spaces of affine continuous functions on a simplex

Casini, Emanuele · Miglierina, Enrico · Piasecki, Łukasz

Original · EN

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 L₁ spaces. Proc. Amer. Math. Soc. 23, (1969), 378-385.

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