Spectral theory of composition operators on hardy spaces of the unit disc and of the upper half-plane

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2007

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Gül, Uğur

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In this thesis we study the essential spectrum of composition operators on the Hardy space of the unit disc and of the upper half-plane. Our starting point is the spectral analysis of the composition operators induced by translations of the upper half-plane. We completely characterize the essential spectrum of a class of composition operators that are induced by perturbations of translations.

Subject Keywords

Composition operators.

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http://etd.lib.metu.edu.tr/upload/3/12608251/index.pdf
https://hdl.handle.net/11511/17077

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Graduate School of Natural and Applied Sciences, Thesis

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Citation Formats

U. Gül, “Spectral theory of composition operators on hardy spaces of the unit disc and of the upper half-plane,” Ph.D. - Doctoral Program, Middle East Technical University, 2007.