ACTA MATHEMATICA UNIVERSITATIS COMENIANAE
Vol. LXXV, 1 (2006)
p. 55 - 61
On exponential dichotomy of semigroups
B. Sasu
Abstract.
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.
Keywords:
Semigroup of linear operators, exponential dichotomy.
AMS Subject classification: Primary 34D05, 34D09; Secondary 47D06.
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