Characterization of dominated splittings for operator cocycles acting on Banach spaces

@article{Blumenthal2015CharacterizationOD,
title={Characterization of dominated splittings for operator cocycles acting on Banach spaces},
author={Alex Blumenthal and I. Morris},
journal={arXiv: Dynamical Systems},
year={2015}
}

Versions of the Oseledets multiplicative ergodic theorem for cocycles acting on infinite-dimensional Banach spaces have been investigated since the pioneering work of Ruelle in 1982 and are a topic of continuing research interest. For a cocycle to induce a continuous splitting in which the growth in one subbundle exponentially dominates the growth in another requires additional assumptions; a necessary and sufficient condition for the existence of such a dominated splitting was recently given… CONTINUE READING