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On the geometric structure of convex sets with the RNP

Part of: General convexity

Published online by Cambridge University Press:  26 February 2010

Vassilis Kanellopoulos
Vassilis Kanellopoulos
Affiliation:
Department of Mathematics, National Technical University of Athens, Zagrafou Campus, 15780, Athens, Greece. E-mail: bkanel@math.ntua.gr
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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.

MSC classification

Secondary: 52A20: Convex sets in $n$ dimensions (including convex hypersurfaces)
Type
Research Article
Information
Mathematika , Volume 50 , Issue 1-2 , December 2003 , pp. 73 - 85
Copyright
Copyright © University College London 2003

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