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Muna Abu-Alhalawa, Birzeit University
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"On Spectral Characterization of Nonuniform Hyperbolicity"
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We give a complete functional theoretic characterization of tempered
exponential dichotomies in terms of the invertibility of certain
linear operators acting on a suitable Frechét space. In sharp
contrast to previous results, we consider noninvertible linear
cocycles acting on infinite-dimensional spaces.The principal
advantage of our results is that they avoid the use of Lyapunov
norms.