PERIODIC APPROXIMATION OF EXCEPTIONALLYAPUNOV EXPONENTS FOR SEMI-INVERTIBLEOPERATOR COCYCLES

摘要

We prove that for semi-invertible and Hlder continuous linear cocycles A acting on an arbitrary Banach space and defined over a base space that satisfies the Anosov closing property, all exceptional Lyapunov exponents of A with respect to an ergodic invariant measure for base dynamics can be approximated with Lyapunov exponents of A with respect to ergodic measures supported on periodic orbits. Our result is applicableto a wide class of infinite-dimensional dynamical systems.