Abstract
Two approximation theoretic properties of Hilbert spaces used in the proof of a result concerning Chebyshev sets obtained by Frerking and Westphal [4] are discussed. Investigation of one leads to a characterisation of inner product spaces of dimension at least three; it is an improvement of one due to Berens [3]. The other property is shared by all finite dimensional spaces [3] and here a topological result of which that fact is a simple consequence is proved.
Information
Published: 1 January 1988
First available in Project Euclid: 18 November 2014
MathSciNet: MR1009589
Rights: Copyright © 1988, Centre for Mathematics and its Applications, Mathematical Sciences Institute, The Australian National University. This book is copyright. Apart from any fair dealing for the purpose of private study, research, criticism or review as permitted under the Copyright Act, no part may be reproduced by any process without permission. Inquiries should be made to the publisher.
