Non-uniform hyperbolicity for infinite dimensional cocycles

Bessa, Mário; Carvalho, Maria

http://hdl.handle.net/10400.2/13903

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Authors

Bessa, Mário

Carvalho, Maria

Abstract(s)

Let H be an infinite dimensional separable Hilbert space, X a compact Hausdorff space and f : X \rightarrow X a homeomorphism which preserves a Borel ergodic measure which is positive on non-empty open sets. We prove that the non-uniformly Anosov cocycles are C0-dense in the family of partially hyperbolic f,H-skew products with non-trivial unstable bundles.