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A remark on strong stability of linear Hamiltonian systems

✍ Scribed by Maciej P Wojtkowski


Publisher
Elsevier Science
Year
1989
Tongue
English
Weight
152 KB
Volume
81
Category
Article
ISSN
0022-0396

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Strong Asymptotic Stability of Linear Dy
✍ F. Huang πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 583 KB

In this paper we investigate the strong asymptotic stability of linear dynamical systems in Banach spaces. Let \(\alpha\) be the infinitesimal generator of a \(C_{0}\)-semigroup \(e^{t i f f}\) of bounded linear operators in a Banach space \(X\). We first show that if \(e^{t . \alpha}\) is a \(C_{0}