Journal of Convex Analysis 13 (2006), No. 3, 739--750
Copyright Heldermann Verlag 2006
The Mazur Intersection Problem
John Robilliard Giles
School of Mathematical and Physical Sciences, University of Newcastle, Newcastle, NSW 2305, Australia
Bounded closed convex sets in Euclidean space can be characterised by two distinct ball separation properties which in a general normed linear space are not equivalent. The study of these two separation properties has led to interesting developments in classifying those Banach spaces where these different characterisations of bounded closed convex sets hold.
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