The spectra of linear fractional composition operators on weighted Dirichlet spaces
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2016
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Elsevier
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Gallardo Gutiérrez, E. A., & Schroderus, R. «The Spectra of Linear Fractional Composition Operators on Weighted Dirichlet Spaces». Journal of Functional Analysis, vol. 271, n.o 3, agosto de 2016, pp. 720-45. DOI.org (Crossref), https://doi.org/10.1016/j.jfa.2016.03.014.
Abstract
We completely determine the spectra of composition operators induced by linear fractional self-maps of the unit disc acting on weighted Dirichlet spaces; extending earlier results by Higdon [8] and answering the open questions in this context.