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Normaloid weighted composition operators on H2

Normaloid weighted composition operators on \(H^2\)
descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Nov 2018Embargo end date: 01 Jan 2017 English Publisher:Elsevier BVJournal:Journal of Mathematical Analysis and Applications, volume 467, pages 1,153-1,162 (issn: 0022-247X, Copyright policy )
Authors: Derek Thompson;

doi: 10.1016/j.jmaa.2018.07.061 , 10.48550/arxiv.1711.09461

arXiv: 1711.09461

Normaloid weighted composition operators on H2

Abstract

When \ph\ is an analytic self-map of the unit disk with Denjoy-Wolff point $a \in \D$, and $��(\W) = ��(a)$, 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.

Related Organizations
Keywords

spectral radius, hyponormal operator, Hardy spaces, Linear composition operators, convexoid operator, Functional Analysis (math.FA), Mathematics - Functional Analysis, weighted composition operator, 47B33, normaloid operator, composition operator, FOS: Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
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bronze