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Supercyclic and chaotic translation semigroups
Author(s):
Mai
Matsui;
Mino
Yamada;
Fukiko
Takeo
Journal:
Proc. Amer. Math. Soc.
131
(2003),
3535-3546.
MSC (2000):
Primary 47D60;
Secondary 47D06
Posted:
March 25, 2003
Errata:
Proc. Amer. Math. Soc. 132 (2004), 3751-3752.
MathSciNet review:
1991766
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Abstract:
We give a necessary and sufficient condition for a translation semigroup to be supercyclic and to be chaotic in a weighted function space.
References:
-
- 1.
- W. Desch, W. Schappacher and G. F. Webb, Hypercyclic and chaotic semigroups of linear operators, Ergod. Th. & Dynam. Sys., 17 (1997), 793-819. MR 98j:47083
- 2.
- D. A. Herrero, Z-Y. Wang, Compact Perturbations of Hypercyclic and Supercyclic Operators, Indiana Univ. Math. J., 39 (1990), 819-829. MR 91k:47042
- 3.
- D. A. Herrero, Limits of Hypercyclic and Supercyclic operators, Journal of Functional Analysis., 99 (1991), 179-190. MR 93e:47001
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Additional Information:
Mai
Matsui
Affiliation:
Doctoral Research Course in Human Culture, Ochanomizu University, 2-1-1 Otsuka, Bunkyo-ku, Tokyo, 112-8610, Japan
Email:
mai@tke.att.ne.jp
Mino
Yamada
Affiliation:
Graduate School of Humanities and Sciences, Ochanomizu University, 2-1-1 Otsuka, Bunkyo-ku, Tokyo, 112-8610, Japan
Email:
yamada@xx.is.ocha.ac.jp
Fukiko
Takeo
Affiliation:
Department of Information Sciences, Ochanomizu University, 2-1-1 Otsuka, Bunkyo-ku, Tokyo, 112-8610, Japan
Email:
takeo@is.ocha.ac.jp
DOI:
10.1090/S0002-9939-03-06960-0
PII:
S 0002-9939(03)06960-0
Keywords:
Admissible weight function,
supercylic semigroups,
chaotic semigroups
Received by editor(s):
December 7, 2001
Received by editor(s) in revised form:
June 21, 2002
Posted:
March 25, 2003
Communicated by:
Joseph A. Ball
Copyright of article:
Copyright
2003,
American Mathematical Society
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