Normaloid Weighted Composition Operators on H2
Abstract
When \ is an analytic self-map of the unit disk with Denjoy-Wolff point a ∈ , and () = (a), we give an exact characterization for when \ is normaloid. We also determine the spectral radius, essential spectral radius, and essential norm for a class of non-compact composition operators whose symbols have Denjoy-Wolff point in . When the Denjoy-Wolff point is on ∂ , we give sufficient conditions for several new classes of normaloid weighted composition operators.
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