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arXiv · 1711.09461

Normaloid Weighted Composition Operators on $H^2$

Derek Thompson
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Abstract

When \ph\ is an analytic self-map of the unit disk with Denjoy-Wolff point $a \in \D$, and $\rho(\W) = \psi(a)$, we give an exact characterization for when \W\ 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 \D. When the Denjoy-Wolff point is on $\partial \D$, we give sufficient conditions for several new classes of normaloid weighted composition operators.

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BibTeXRIS

Derek Thompson. 2017-11-26. Normaloid Weighted Composition Operators on $H^2$. https://arxiv.org/abs/1711.09461

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