Bessa, MárioCarvalho, Maria2023-05-302023-05-302013-07-18M. Bessa, M. Carvalho, Non-Uniform hyperbolicity for infinite dimensional cocycles, Stochastics and Dynamics 13, 03, 1250026 (2013)0219-4937http://hdl.handle.net/10400.2/13903Let 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.engRandom operatorsDominated splittingMultiplicative ergodic theoremLyapunov exponentsjournal article10.1142/S02194937125002681793-6799