Spaces with many affine functions
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- by Petra Hitzelberger and Alexander Lytchak PDF
- Proc. Amer. Math. Soc. 135 (2007), 2263-2271 Request permission
Abstract:
We describe all metric spaces that have sufficiently many affine functions. As an application we obtain a metric characterization of linear-convex subsets of Banach spaces.References
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Additional Information
- Petra Hitzelberger
- Affiliation: Mathematisches Institut, Fachbereich Matho & Info, Uni Müenster, Einsteinstrasse 62, 48149 Muenster, Germany
- MR Author ID: 810162
- Email: hitzelberger@uni-muenster.de
- Alexander Lytchak
- Affiliation: Mathematisches Institut, Universität Bonn, Beringstr. 1, 53115 Bonn, Germany
- MR Author ID: 679338
- Email: lytchak@math.uni-bonn.de
- Received by editor(s): December 1, 2005
- Received by editor(s) in revised form: March 28, 2006
- Published electronically: March 2, 2007
- Communicated by: Alexander N. Dranishnikov
- © Copyright 2007
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 135 (2007), 2263-2271
- MSC (2000): Primary 53C20
- DOI: https://doi.org/10.1090/S0002-9939-07-08728-X
- MathSciNet review: 2299504