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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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Hypercyclic property of weighted composition operators
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by B. Yousefi and H. Rezaei PDF
Proc. Amer. Math. Soc. 135 (2007), 3263-3271 Request permission

Abstract:

In the present paper we investigate conditions under which a holomorphic self-map of the open unit disk induces a hypercyclic weighted composition operator in the space of holomorphic functions.
References
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Additional Information
  • B. Yousefi
  • Affiliation: Department of Mathematics, College of Sciences, Shiraz University, Shiraz 71454, Iran
  • Email: byousefi@shirazu.ac.ir
  • H. Rezaei
  • Affiliation: Department of Mathematics, College of Sciences, Shiraz University, Shiraz 71454, Iran
  • Received by editor(s): January 26, 2006
  • Received by editor(s) in revised form: June 30, 2006
  • Published electronically: May 14, 2007
  • Additional Notes: This paper is a part of the second author’s doctoral thesis written at Shiraz University under the direction of the first author

  • Dedicated: Dedicated to the memory of Professor K. Seddighi
  • Communicated by: Joseph A. Ball
  • © Copyright 2007 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 135 (2007), 3263-3271
  • MSC (2000): Primary 47B33, 47B38
  • DOI: https://doi.org/10.1090/S0002-9939-07-08833-8
  • MathSciNet review: 2322758