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17th "Summer" Conference on Topology and Applications
July 1-4, 2002
University of Auckland
Auckland, New Zealand

Organizers
David Gauld (University of Auckland), Sina Greenwood (University of Auckland), David McIntyre (University of Auckland), Warren Moors (Waikato University), Sidney Morris (University of South Australia), Vladimir Pestov (Victoria University Wellington), Ivan Reilly (University of Auckland), Des Robbie (University of Melbourne)

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Frechet intermediate differentiability of locally Lipschitz functions on Asplund spaces.
by
Scott Sciffer
University of Newcastle, Australia
Coauthors: J.R.Giles (University of Newcastle)

We introduce the notion of Frechet intermediate differentiability of locally Lipschitz functions, which is weaker than Frechet differentiability but stronger than intermediate differentiability. We show that on Asplund spaces a large class of locally Lipschitz functions --- those whose subdifferential mapping is weak* lower semicontinuous --- have this differentiability property generically.

Date received: May 21, 2002

Copyright © 2002 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cait-20.