Abstract
Let X be a Banach space and C be a closed, convex subset of X such that N(C), the subset of its non support points, is non empty. We investigate differentiability properties of convex functions defined on N(C) and recover many results known to be true in the case N(C) = int(C).
Information
Published: 1 January 1988
First available in Project Euclid: 18 November 2014
zbMATH: 0643.49016
MathSciNet: MR1009606
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.
