Abstract
Recently David Preiss proved a remarkable theorem about dense differentiability of locally Lipschitz functions on Banach spaces. Using his result and adopting a technique of Petru: Kenderov used to prove generic differentiability of convex ftLnctions we establish similar generic differentiability properties for locally Lipschitz functions. We apply our results to determine further differentiability properties of distance functions.
Information
Published: 1 January 1988
First available in Project Euclid: 18 November 2014
MathSciNet: MR1009592
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.
