ACTA MATHEMATICA UNIVERSITATIS COMENIANAE

Vol. 61,   1   (1992)
pp.   21-25

NORM-TO-WEAK UPPER SEMICONTINUOUS MONOTONE OPERATORS ARE GENERICALLY STRONGLY CONTINUOUS
L. VESELY

Abstract.  In any Banach space a monotone operator with a norm-to-weak upper semicontinuous multivalued selection on an open set $D$ is singlevalued and norm-to-norm upper semicontinuous at the points of a dense $G_\delta$ subset of $D$.

AMS subject classification.  47H04, 47H05; Secondary 54C60
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