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On the resolvent condition in the Kreiss Matrix Theorem

✍ Scribed by Randall J. Leveque; Lloyd N. Trefethen


Publisher
Springer Netherlands
Year
1984
Tongue
English
Weight
316 KB
Volume
24
Category
Article
ISSN
0006-3835

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An Integrability Condition on the Resolv
✍ M.A. Kaashoek; S.M.V. Lunel πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 866 KB

In this paper, we present necessary and sufficient conditions on the. resolvent of the generator of a strongly continuous semigroup in order that the corresponding semigroup is hyperbolic. The proof is based on a new characterization of the growth bound in terms of the resolvent. As an application,