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On spectral characterization of nonuniform hyperbolicity (CROSBI ID 244885)
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Abu Alhalawa Muna ; Dragičević, Davor
On spectral characterization of nonuniform hyperbolicity // Journal of Function Spaces, 2017 (2017), 6707649, 8. doi: 10.1155/2017/6707649
Podaci o odgovornosti
Abu Alhalawa Muna ; Dragičević, Davor
engleski
On spectral characterization of nonuniform hyperbolicity
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.
Tempered exponential dichotomies, Lyapunov exponents, Frech\'et spaces
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