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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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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