A volume-based approach to the multiplicative ergodic theorem on Banach spaces
Dynamical Systems
2015-12-08 v2
Abstract
A volume growth-based proof of the Multiplicative Ergodic Theorem for Banach spaces is presented, following the approach of Ruelle for cocycles acting on a Hilbert space. As a consequence, we obtain a volume growth interpretation for the Lyapunov exponents of a Banach space cocycle.
Cite
@article{arxiv.1502.06554,
title = {A volume-based approach to the multiplicative ergodic theorem on Banach spaces},
author = {Alex Blumenthal},
journal= {arXiv preprint arXiv:1502.06554},
year = {2015}
}
Comments
24 pages; v2 corrects an error in the proof of Lemma 3.2