A volume-based approach to the multiplicative ergodic theorem on Banach spaces

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.

24 pages; v2 corrects an error in the proof of Lemma 3.2

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