Abstract
For a nonautonomous dynamics defined by a sequence of linear operators on a Banach space, we give a characterization of its nonuniform hyperbolicity in terms of the hyperbolicity of an associated evolution map. We also obtain a generalization of this characterization to the class of nonuniformly hyperbolic cocycles over a locally compact topological space with values on the set of bounded linear operators.
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L.B. and C.V. were supported by FCT/Portugal through UID/MAT/04459/2013.
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Barreira, L., Popescu, L.H. & Valls, C. Hyperbolic Sequences of Linear Operators and Evolution Maps. Milan J. Math. 84, 203–216 (2016). https://doi.org/10.1007/s00032-016-0255-4
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DOI: https://doi.org/10.1007/s00032-016-0255-4