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

By A. Blumenthal. 2015

53 citations recorded by the source corpus.

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.

Subfields: Applied Mathematics, Economics and Econometrics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/5af9030bf721f8e3e222400a776b700c24008eca

Citations in the corpus

• A concise proof of the Multiplicative Ergodic Theorem on Banach spaces (2014, unknown): “lts in this article are Theorem16and Corollary17. After submitting the current article, we learned of an independent proof of essentially the same result via closely related methods due to Blumenthal [1]. 2. Volume calculations in Banach spaces Let Xbe a Banach space with norm kk. As usual, given a ”