94-261 Y.Latushkin, S.Montgomery-Smith, T.Randolph
Evolutionary Semigroups and Dichotomy of Linear Skew-Product Flows on Locally Compact Spaces with Banach Fibers (111K, LaTeX) Jul 31, 94
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Abstract. We study evolutionary semigroup, generated by a strongly continuous semi-cocycle over a locally compact metric space acting on Banach fibers. The spectral mapping theorem is proved. The hyperbolicity of the semigroup is related to the exponential dichotomy of the corresponding linear skew-product flow. Applications are given.

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