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On the families of Gibbs semigroups

✍ Scribed by V. A. Zagrebnov


Publisher
Springer
Year
1980
Tongue
English
Weight
463 KB
Volume
76
Category
Article
ISSN
0010-3616

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✍ Charles J.K. Batty; Ralph Chill; Yuri Tomilov πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 212 KB

We prove several characterizations of strong stability of uniformly bounded evolution families ðUðt; sÞÞ t5s50 of bounded operators on a Banach space X , i.e. we characterize the property lim t!1 jjUðt; sÞxjj ¼ 0 for all s50 and all x 2 X . These results are connected to the asymptotic stability of