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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Composition operators: Hyperinvariant subspaces, quasi-normals and isometries
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by Bruce A. Cload PDF
Proc. Amer. Math. Soc. 127 (1999), 1697-1703 Request permission

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
  • Received by editor(s): May 13, 1997
  • Received by editor(s) in revised form: September 8, 1997
  • Published electronically: 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 1999 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 127 (1999), 1697-1703
  • MSC (1991): Primary 47B38; Secondary 47A15, 47B06, 47B20
  • DOI: https://doi.org/10.1090/S0002-9939-99-04663-8
  • MathSciNet review: 1476125