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

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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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
Uncontrolled Keywords:Composition operators; Hardy spaces; Essential spectra
Subjects:UNSPECIFIED
ID Code:16421
Deposited By:Uğur Gül
Deposited On:22 Mar 2011 14:38
Last Modified:25 May 2011 14:15

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