Geodesic
On exponential dichotomy of semigroups
Acta mathematica Universitatis Comenianae, Tome 75 (2006) no. 1 
B. Sasu. On exponential dichotomy of semigroups. Acta mathematica Universitatis Comenianae, Tome 75 (2006) no. 1. http://geodesic.mathdoc.fr/item/AMUC_2006_75_1_a4/
@article{AMUC_2006_75_1_a4,
     author = {B. Sasu},
     title = {On exponential dichotomy of semigroups},
     journal = {Acta mathematica Universitatis Comenianae},
     year = {2006},
     volume = {75},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2006_75_1_a4/}
}
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Voir la notice de l'article provenant de la source Comenius University

The aim of this paper is to analyze the connections between the exponential dichotomy of a semigroup on a Banach space X and the admissibility of the pair ( l p ( N , X ), q p ( N , X )). We obtain necessary and sufficient conditions for exponential dichotomy of exponentially bounded semigroups using discrete time techniques.