A model for invertible composition operators on $H^2$
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- by Paul R. Hurst PDF
- Proc. Amer. Math. Soc. 124 (1996), 1847-1856 Request permission
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.References
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- Carl C. Cowen, The commutant of an analytic Toeplitz operator, Trans. Amer. Math. Soc. 239 (1978), 1–31. MR 482347, DOI 10.1090/S0002-9947-1978-0482347-9
- Eric Nordgren, Peter Rosenthal, and F. S. Wintrobe, Invertible composition operators on $H^p$, J. Funct. Anal. 73 (1987), no. 2, 324–344. MR 899654, DOI 10.1016/0022-1236(87)90071-1
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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
- 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
- © Copyright 1996 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 124 (1996), 1847-1856
- MSC (1991): Primary 47B38; Secondary 47B37, 47B35
- DOI: https://doi.org/10.1090/S0002-9939-96-03228-5
- MathSciNet review: 1307532