Geodesic
On the exponential stability and dichotomy of $C_0$-semigroups
Studia Mathematica, Tome 132 (1999) no. 2, pp. 141-149

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

A characterization of exponentially dichotomic and exponentially stable $C_0$-semigroups in terms of solutions of an operator equation of Lyapunov type is presented. As a corollary a new and shorter proof of van Neerven's recent characterization of exponential stability in terms of boundedness of convolutions of a semigroup with almost periodic functions is given.
DOI : 10.4064/sm-132-2-141-149

Vũ Quôc Phóng 1

1 
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Vũ Quôc Phóng. On the exponential stability and dichotomy of $C_0$-semigroups. Studia Mathematica, Tome 132 (1999) no. 2, pp. 141-149. doi: 10.4064/sm-132-2-141-149

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