Varzaneh, Mazyar GhaniRiedel, S.2022-10-042022-10-042021-03-101040-7294https://depositonce.tu-berlin.de/handle/11303/17056https://doi.org/10.14279/depositonce-15835We 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.en510 Mathematiksemi-invertible multiplicative ergodic theoremoseledets splittingfields of Banach spacesinvariant manifoldsArticle1572-9222