Proceedings of the American Mathematical Society

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ISSN 1088-6826(e) ISSN 0002-9939(p)

Spaces with many affine functions

Author(s): Petra Hitzelberger; Alexander Lytchak
Journal: Proc. Amer. Math. Soc. 135 (2007), 2263-2271.
MSC (2000): Primary 53C20
Posted: March 2, 2007
MathSciNet review: 2299504
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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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[LS04]: A. Lytchak and V. Schroeder, Affine functions on $(\textit{CAT}(\kappa))$ spaces, Math. Z. 255 (2007), 231-244.
[Lyt04]: A. Lytchak, Differentiation in metric spaces, Algebra i Analiz 16 (2004), no. 6, 128-161. MR 2117451
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Additional Information:

Petra Hitzelberger
Affiliation: Mathematisches Institut, Fachbereich Matho & Info, Uni Müenster, Einsteinstrasse 62, 48149 Muenster, Germany
Email: hitzelberger@uni-muenster.de

Alexander Lytchak
Affiliation: Mathematisches Institut, Universität Bonn, Beringstr. 1, 53115 Bonn, Germany
Email: lytchak@math.uni-bonn.de

DOI: 10.1090/S0002-9939-07-08728-X
PII: S 0002-9939(07)08728-X
Keywords: Affine functions, Banach spaces, geodesic mappings
Received by editor(s): December 1, 2005
Received by editor(s) in revised form: March 28, 2006
Posted: March 2, 2007
Communicated by: Alexander N. Dranishnikov
Copyright of article: Copyright 2007, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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