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Monotone operators and dentability
Published online by Cambridge University Press: 17 April 2009
Abstract
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.
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- Copyright © Australian Mathematical Society 1978
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