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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Hypercyclicity and supercyclicity for invertible bilateral weighted shifts


Author: Nathan S. Feldman
Journal: Proc. Amer. Math. Soc. 131 (2003), 479-485
MSC (2000): Primary 47A16, 47B37
Published electronically: June 3, 2002
MathSciNet review: 1933339
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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.


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Additional Information

Nathan S. Feldman
Affiliation: Department of Mathematics, Washington and Lee University, Lexington, Virginia 24450
Email: feldmann@wlu.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-02-06537-1
PII: S 0002-9939(02)06537-1
Keywords: Hypercyclic, supercyclic, bilateral weighted shift
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
Article copyright: © Copyright 2002 American Mathematical Society