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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 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Hypercyclicity and supercyclicity for invertible bilateral weighted shifts
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by Nathan S. Feldman
Proc. Amer. Math. Soc. 131 (2003), 479-485
DOI: https://doi.org/10.1090/S0002-9939-02-06537-1
Published electronically: June 3, 2002

Abstract:

We give a characterization of the invertible bilateral weighted shifts that are hypercyclic or supercyclic. Although there is a general characterization due to H. Salas, in the invertible case the conditions simplify greatly.
References
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Bibliographic Information
  • Nathan S. Feldman
  • Affiliation: Department of Mathematics, Washington and Lee University, Lexington, Virginia 24450
  • Email: feldmann@wlu.edu
  • Received by editor(s): April 28, 2001
  • Received by editor(s) in revised form: September 17, 2001
  • Published electronically: June 3, 2002
  • Communicated by: Joseph A. Ball
  • © Copyright 2002 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 131 (2003), 479-485
  • MSC (2000): Primary 47A16, 47B37
  • DOI: https://doi.org/10.1090/S0002-9939-02-06537-1
  • MathSciNet review: 1933339