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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A model for invertible composition operators on $H^2$


Author: Paul R. Hurst
Journal: Proc. Amer. Math. Soc. 124 (1996), 1847-1856
MSC (1991): Primary 47B38; Secondary 47B37, 47B35
MathSciNet review: 1307532
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Abstract: A model is obtained for invertible hyperbolic and parabolic composition operators on $H^2$. This model shows that the adjoints of these composition operators are similar to block Toeplitz matrices constructed with weighted bilateral shifts and rank one operators.


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Additional Information

Paul R. Hurst
Affiliation: Department of Mathematics\ Purdue University\ West Lafayette, Indiana 47907
Address at time of publication: MSC Division, Brigham Young University–Hawaii Campus, Laie, Hawaii 96762
Email: hurstp@byuh.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-96-03228-5
PII: S 0002-9939(96)03228-5
Received by editor(s): June 1, 1994
Received by editor(s) in revised form: December 13, 1994
Additional Notes: This paper is part of the author’s Doctoral thesis, written at Purdue University under the direction of Professor Carl C. Cowen
Communicated by: Palle E. T. Jorgensen
Article copyright: © Copyright 1996 American Mathematical Society