Essential spectra of quasi-parabolic composition operators on Hardy spaces of analytic functions

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Gül, Uğur (2011) Essential spectra of quasi-parabolic composition operators on Hardy spaces of analytic functions. Journal of Mathematical Analysis and Applications, 377 (2). pp. 771-791. ISSN 0022-247X

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Abstract

In this work we study the essential spectra of composition operators on Hardy spaces of analytic functions which might be termed as “quasi-parabolic.” This is the class of composition operators on H2 with symbols whose conjugate with the Cayley transform on the upper half-plane are of the form φ(z)=z+ψ(z), where and (ψ(z))>>0. We especially examine the case where ψ is discontinuous at infinity. A new method is devised to show that this type of composition operator fall in a C*-algebra of Toeplitz operators and Fourier multipliers. This method enables us to provide new examples of essentially normal composition operators and to calculate their essential spectra.
Item Type: Article
Uncontrolled Keywords: Composition operators; Hardy spaces; Essential spectra
Divisions: Faculty of Engineering and Natural Sciences > Basic Sciences > Mathematics
Faculty of Engineering and Natural Sciences
Depositing User: Uğur Gül
Date Deposited: 22 Mar 2011 14:38
Last Modified: 26 Apr 2022 08:46
URI: https://research.sabanciuniv.edu/id/eprint/16421

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