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Addendum: Lack of uniformly exponential stabilization for isometric  -semigroups under compact perturbation of the generators in Banach spaces
Author(s):
Li-Xin
Liu;
Faming
Guo
Journal:
Proc. Amer. Math. Soc.
137
(2009),
2809-2812.
MSC (2000):
Primary 47A50, 47A55
Posted:
March 16, 2009
Original article:
Proc. Amer. Math. Soc. 135 (2007), 1881-1887
MathSciNet review:
2497496
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Additional information
References:
-
- 1.
- R. F. Curtain and H. Zwart, An Introduction to Infinite-Dimensional Linear Systems Theory, Texts in Applied Mathematics, 21, Springer-Verlag, 1995. MR 1351248 (96i:93001)
- 2.
- K.-J. Engel and R. Nagel, One-Parameter Semigroups for Linear Evolution Equations, Graduate Texts in Mathematics, vol. 194, Springer-Verlag, 2000. MR 1721989 (2000i:47075)
- 3.
- F. M. Guo, K. Guo, and C. L. Zhang, Lack of uniformly exponential stabilization for isometric
 -semigroups under compact perturbation of the generators in Banach spaces, Proc. Amer. Math. Soc. 135(2007), 1881-1887. MR 2286100 (2007m:47096) - 4.
- Y. H. Luo, S. P. Weng, and D. X. Feng, Stability of linear systems in Banach spaces, Kexue Tongbao, 43(1998), 1676-1677 (in Chinese). MR 1671371
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Additional Information:
Li-Xin
Liu
Affiliation:
Department of Mathematics and Physics, Panzhihua University, Panzhihua, Sichuan 617000, People's Republic of China
Email:
pzhliulixin@yahoo.com.cn
Faming
Guo
Affiliation:
Department of Applied Mathematics, Chengdu University of Technology, Chengdu, Sichuan 610059, People's Republic of China
Email:
guofm@cdut.edu.cn
DOI:
10.1090/S0002-9939-09-09657-9
PII:
S 0002-9939(09)09657-9
Received by editor(s):
September 14, 2007
Posted:
March 16, 2009
Additional Notes:
The original paper appeared in Proc. Amer. Math. Soc. 135(2007), 1881-1887
Communicated by:
Marius Junge
Copyright of article:
Copyright
2009,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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