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Normal and quasinormal weighted composition operators

1991
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Glasgow Mathematical Journal
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Introduction. In their paper [1], Campbell and Jamison attempted to give necessary and sufficient conditions for a weighted composition operator on an L 2 space to be normal, and to be quasinormal. Those conditions, specifically Theorems I and II of that paper, are not valid (see [2] for precise comments on the other results in that paper). In this paper we present a counterexample to those theorems and state and prove characterizations of quasinormality (Theorem 1 below) and normality (Theorem

doi:10.1017/s0017089500008338
fatcat:qzmyon4uqndntjx34ctlrqioxq