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Monotone operators and dentability

Published online by Cambridge University Press:  17 April 2009

S.P. Fitzpatrick
S.P. Fitzpatrick
Affiliation:
Department of Mathematics, University of Washington, Seattle, Washington, USA.
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Abstract

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P.S. Kenderov has shown that every monotone operator on an Asplund Banach space is continuous on a dense Gδ subset of the interior of its domain. We prove a general result which yields as special cases both Kenderov's Theorem and a theorem of Collier on the Fréchet differentiability of weak* lower semicontinuous convex functions.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 18 , Issue 1 , February 1978 , pp. 77 - 82
Copyright
Copyright © Australian Mathematical Society 1978

References

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