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arxiv: math/0511583 · v1 · pith:PPJJFQ7Pnew · submitted 2005-11-23 · 🧮 math.MG

Spaces with many affine functions

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keywords spacesaffinefunctionsmanymetricapplicationbanachcharacterization
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We describe all metric spaces that have sufficently many affine functions. As an application we obtain a metric characterization of linear-convex subsets of Banach spaces.

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