
Journal of Convex Analysis 13 (2006), No. 3, 739750 Copyright Heldermann Verlag 2006 The Mazur Intersection Problem John Robilliard Giles School of Mathematical and Physical Sciences, University of Newcastle, Newcastle, NSW 2305, Australia jan.garnsey@newcastle.edu.au 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. [ Fulltextpdf (352 KB)] for subscribers only. 