Gül, Uğur (2010) Essential spectra of quasi-parabolic composition operators on hardy spaces of analytic functions. (Accepted/In Press)
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Official URL: http://dx.doi.org/10.1016/j.jmaa.2010.11.055
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 |
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Uncontrolled Keywords: | Essential Spectra, Hardy Spaces, Composition Operators |
Divisions: | Faculty of Engineering and Natural Sciences > Basic Sciences > Mathematics Faculty of Engineering and Natural Sciences |
Depositing User: | Uğur Gül |
Date Deposited: | 07 Dec 2010 22:35 |
Last Modified: | 29 Jul 2019 12:39 |
URI: | https://research.sabanciuniv.edu/id/eprint/15976 |
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- Essential spectra of quasi-parabolic composition operators on hardy spaces of analytic functions. (deposited 07 Dec 2010 22:35) [Currently Displayed]