We study the connections between the uniform exponential dichotomy of a discrete linear skew-product semiflow and the uniform admissibility of the pair (c₀(,X),c₀₀(, X)). We give necessary and sufficient conditions for uniform exponential dichotomy of linear skew-product semiflows in terms of the uniform admissibility of the pairs (c₀(, X),c₀₀(, X)) and (C₀(, X), C₀₀(, X)), respectively. We generalize a dichotomy theorem due to Van Minh, Räbiger and Schnaubelt for the case of linear skew-product semiflows.
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Megan et al. (2003) studied this question.