Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5774035 | Journal of Differential Equations | 2017 | 27 Pages |
Abstract
We give a complete characterization of the uniform hyperbolicity and nonuniform hyperbolicity of a cocycle with values in the space of bounded linear operators acting on a Hilbert space in terms of the existence of appropriate quadratic forms. Our work unifies and extends many results in the literature by considering the general case of not necessarily invertible cocycles acting on a Hilbert space over an arbitrary invertible dynamics. As a nontrivial application of, we study the persistence of hyperbolicity under small linear perturbations.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Luis Barreira, Davor DragiÄeviÄ, Claudia Valls,