Bulletin of the Australian Mathematical Society

Research Article

Local boundedness of monotone operators under minimal hypotheses

Jon Borweina1 and Simon Fitzpatricka2

a1 Department of Mathematics Statistics and Computer Science, Dalhousie University, Halifax NS B3H 3J5 Canada

a2 Department of Mathematics and Statistics, University of Auckland, Private Bag Auckland New Zealand

Abstract

We give a short proof the local boundedness of a monotone operator as an easy consequence of the continuity of an associated convex function.

(Received August 15 1988)