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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
Posted:
June 3, 2002
MathSciNet review:
1933339
Full-text PDF Free Access
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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
Posted:
June 3, 2002
Communicated by:
Joseph A. Ball
Article copyright:
© Copyright 2002 American Mathematical Society
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