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arXiv · 1712.00587

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

Davor Dragicevic
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Abstract

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.

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Davor Dragicevic. 2017-12-02. A version of the theorem of Johnson, Palmer and Sell for quasicompact cocycles. https://arxiv.org/abs/1712.00587

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