Geodesic
Hyperbolic Operator Semigroups and Lyapunov's Equation
Matematičeskie zametki, Tome 89 (2011) no. 2, pp. 190-203.

Voir la notice de l'article provenant de la source Math-Net.Ru

We obtain necessary and sufficient conditions for the hyperbolicity of a semigroup of operators. In so doing, we use Lyapunov's equation in operator form constructed from its generator.
Keywords: hyperbolic semigroup of operators, Lyapunov's equation, exponential dichotomy, Howland hyperbolic semigroup, Banach algebra, Krein's theorem. 
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A. G. Baskakov; A. A. Vorobjev; M. Yu. Romanova. Hyperbolic Operator Semigroups and Lyapunov's Equation. Matematičeskie zametki, Tome 89 (2011) no. 2, pp. 190-203. http://geodesic.mathdoc.fr/item/MZM_2011_89_2_a2/

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