A model for invertible composition operators on
Author:
Paul R. Hurst
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
Full-text PDF Free Access
Abstract | References | Similar Articles | Additional Information
Abstract: A model is obtained for invertible hyperbolic and parabolic composition operators on . 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.
Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 47B38, 47B37, 47B35
Retrieve articles in all journals with MSC (1991): 47B38, 47B37, 47B35
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:
https://doi.org/10.1090/S0002-9939-96-03228-5
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