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
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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