A VOLUME-BASED APPROACH TO THE MULTIPLICATIVE ERGODIC THEOREM ON BANACH SPACES

作者：Blumenthal Alex^*

来源：Discrete and Continuous Dynamical Systems, 2016, 36(5): 2377-2403.

DOI：10.3934/dcds.2016.36.2377

• Banach space
• Lyapunov exponents
• Multiplicative Ergodic Theorem
• Gelfand numbers
• infinite-dimensional dynamical systems

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.

• 出版日期2016-5