Oseledets splitting and invariant manifolds on fields of Banach spaces

Mazyar Ghani Varzaneh, Sebastian Riedel

Published 2019-12-17Version 1

We prove a semi-invertible Oseledets theorem for cocycles acting on measurable fields of Banach spaces, i.e. we only assume invertibility of the base, not of the operator. As an application, we prove an invariant manifold theorem for nonlinear cocycles acting on measurable fields of Banach spaces.