  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.
