Supercyclic and chaotic translation semigroups
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- by Mai Matsui, Mino Yamada and Fukiko Takeo PDF
- Proc. Amer. Math. Soc. 131 (2003), 3535-3546 Request permission
Erratum: Proc. Amer. Math. Soc. 132 (2004), 3751-3752.
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
- Wolfgang Desch, Wilhelm Schappacher, and Glenn F. Webb, Hypercyclic and chaotic semigroups of linear operators, Ergodic Theory Dynam. Systems 17 (1997), no. 4, 793–819. MR 1468101, DOI 10.1017/S0143385797084976
- Domingo A. Herrero and Zong Yao Wang, Compact perturbations of hypercyclic and supercyclic operators, Indiana Univ. Math. J. 39 (1990), no. 3, 819–829. MR 1078739, DOI 10.1512/iumj.1990.39.39039
- Martin Mathieu (ed.), Elementary operators & applications, World Scientific Publishing Co., Inc., River Edge, NJ, 1992. In memory of Domingo A. Herrero. MR 1183935, DOI 10.1142/1610
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
- Received by editor(s): December 7, 2001
- Received by editor(s) in revised form: June 21, 2002
- Published electronically: March 25, 2003
- Communicated by: Joseph A. Ball
- © Copyright 2003 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 131 (2003), 3535-3546
- MSC (2000): Primary 47D60; Secondary 47D06
- DOI: https://doi.org/10.1090/S0002-9939-03-06960-0
- MathSciNet review: 1991766