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Journal of Operator Theory

Volume 67, Issue 2, Spring 2012  pp. 537-560.

Spectra of some composition operators and associated weighted composition operators

Authors Paul S. Bourdon
Author institution: Mathematics Department, Washington and Lee University, Lexington, VA 24450, U.S.A.

Summary:  We characterize the spectrum and essential spectrum of "essentially linear fractional" composition operators acting upon the Hardy space H2(\U) of the open unit disc \U. When the symbols of these composition operators have Denjoy--Wolff point on the unit circle, the spectrum and essential spectrum coincide. Our work permits us to describe the spectrum and essential spectrum of certain associated weighted composition operators on H2(\U).


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