engleski

A version of the theorem of Johnson, Palmer and Sell for quasicompact cocycles

The well-known theorem of Johnson, Palmer and Sell asserts that the endpoints of the Sacker-- Sell spectrum of a given cocycle of invertible matrices over a topological dynamical system $(M, f)$ are realized as Lyapunov exponents with respect to some ergodic invariant probability measure for $f$. In this note we establish the version of this result for quasicompact cocycles of operators acting on an arbitrary Banach space.

Sacker-Sell spectrum, Lyapunov exponents, invariant measures

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