Proceedings of the American Mathematical Society

			Journals Home Search Author Info Subscribe Tech Support Help
ISSN 1088-6826 (e) ISSN 0002-9939 (p)

Previous issue \| Table of contents \| Next issue Articles in press \| Recently posted articles \| Most recent issue \| All issues Previous Article \| Next Article

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
Retrieve article in: PDF

Abstract | References | Similar articles | Additional information

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

Similar Articles:

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 47D60, 47D06

Retrieve articles in all Journals with MSC (2000): 47D60, 47D06

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


	Comments: webmaster@ams.org © Copyright 2009, American Mathematical Society Privacy Statement		Search the AMS