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Composition operators: Hyperinvariant subspaces, quasi-normals and isometries
Author(s):
Bruce
A.
Cload
Journal:
Proc. Amer. Math. Soc.
127
(1999),
1697-1703.
MSC (1991):
Primary 47B38;
Secondary 47A15, 47B06, 47B20
Posted:
February 11, 1999
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Abstract:
We exhibit hyperinvariant subspaces of some composition operators. We also consider quasi-normal composition operators and discuss the commutant of isometric composition operators.
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Additional Information:
Bruce
A.
Cload
Affiliation:
Department of Mathematics, Brock University, St. Catharines, Ontario, Canada L2S 3A1
Email:
bcload@spartan.ac.brocku.ca
DOI:
10.1090/S0002-9939-99-04663-8
PII:
S 0002-9939(99)04663-8
Received by editor(s):
May 13, 1997
Received by editor(s) in revised form:
September 8, 1997
Posted:
February 11, 1999
Additional Notes:
The results in this paper are part of the author's doctoral thesis under the direction of Peter Rosenthal at the University of Toronto. The author would like to thank NSERC for their support as well as the referee for his kind comments and helpful suggestions.
Communicated by:
Theodore W. Gamelin
Copyright of article:
Copyright
1999,
American Mathematical Society
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