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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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Weak Asplund spaces
by
Sivajah Somasundaram
The University of Waikato
Coauthors: Dr. Warren. B. Moors (The University of Waikato)

We say that a Banach space X is a weak Asplund space if every continuous convex function defined on a non-empty open convex subset A of X is Gâteaux differentiable at the points of a residual subset of A. In the study of weak Asplund spaces, Banach spaces of the form C(K) where C(K) denotes the Banach space of continuous functions on a compact space K, have received special attention. In this talk, we examine when such Banach spaces belong to the class of weak Asplund spaces.

Date received: May 13, 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 Mathematical Conference Abstracts. Document # cait-13.