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On the axiomatization of convex subsets of a Banach space

Publikationsart Peer-reviewed
Publikationsform Originalbeitrag (peer-reviewed)
Projekt Groupes sofiques: algèbre, analyse et dynamique
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Originalbeitrag (peer-reviewed)

Zeitschrift Proc. Amer. Math. Soc.
Titel der Proceedings Proc. Amer. Math. Soc.

Abstract

We prove that every convex-like structure has an affine and isometric embedding into a Banach space giving, in particular, positive answer to Nate Brown's question whether or not his invariant Hom(M;R^omega) embeds into a Banach space.
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