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On the geometric structure of convex sets with the RNP

Published online by Cambridge University Press:  26 February 2010

Vassilis Kanellopoulos
Affiliation:
Department of Mathematics, National Technical University of Athens, Zagrafou Campus, 15780, Athens, Greece. E-mail: [email protected]
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Abstract

An extension of Asplund's theorem concerning the n-extreme and the n-exposed points of a convex body in ℝn and an extension of Liberman's characterization of convexity are given for closed convex bounded sets with the RNP.

Type
Research Article
Copyright
Copyright © University College London 2003

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