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Abstract: Exponential dichotomy of a strongly continuous cocycle $\bFi$ is proved to beequivalent to existence of a Ma\~{n}e sequence either for $\bFi$ or for itsadjoint. As a consequence we extend some of the classical results to generalBanach bundles. The dynamical spectrum of a product of two cocycles, one ofwhich is scalar, is investigated and applied to describe the essential spectrumof the Euler equation in an arbitrary spacial dimension.



Autor: R. Shvydkoy

Fuente: https://arxiv.org/







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