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Title: On Spectral Characterization of Nonuniform Hyperbolicity
Authors: Abu Alhalawa, Muna
Keywords: Tempered exponential dichotomy
Noninvertible linear cocycles
Issue Date: 27-Nov-2017
Publisher: Hindawi, Journal of Function Spaces
Series/Report no.: 6707649;8
Abstract: We give a complete functional theoretic characterization of tempered exponential dichotomies in terms of the invertibility of certain linear operators acting on a suitable Frech´et 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.
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