Abstract

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

Author information

Contact details are reproduced from the original publication and may be historical.

John Robilliard Giles

School of Mathematical and Physical Sciences, University of Newcastle, Newcastle, NSW 2305, Australia

jan.garnsey@newcastle.edu.au

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Suggested citation

J. R. Giles. “The Mazur Intersection Problem.” Journal of Convex Analysis 13 (2006), No. 3/4, 739–750. https://doi.org/10.68381/jca13055

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Published by Heldermann Verlag, 2006. Rights now held by Banach Press LLC.