ACTA MATHEMATICA UNIVERSITATIS COMENIANAE

Vol. LXXII, 2 (2003)
p. 207 212

On the Perron Problem for the Exponential Dichotomy of C0-semigroups
P. Preda, A. Pogan and C. Preda


Abstract.  In the present paper we give a sufficient condition for the exponential dichotomy of a $C_0$-semigroup in terms of "Perron-type" theorems in the case when we don't have the requirement of invertibility on the kernel of the dichotomic projection.

AMS subject classification:  34D05, 34D20, 47D06;
Keywords:  Semigroup, exponential dichotomy, admissibility

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