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Addendum: Lack of uniformly exponential stabilization for isometric $ C_0$-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
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References:

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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)

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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 $ C_0$-semigroups under compact perturbation of the generators in Banach spaces, Proc. Amer. Math. Soc. 135(2007), 1881-1887. MR 2286100 (2007m:47096)

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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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