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arXiv · 1810.01762

On the spectral radius of compact operator cocycles

Lucas Backes·Davor Dragicevic
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Abstract

We extend the notions of joint and generalized spectral radii to cocycles acting on Banach spaces and obtain a version of Berger-Wang's formula when restricted to the space of cocycles taking values in the space of compact operators. Moreover, we observe that the previous quantities depends continuously on the underlying cocycle.

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Lucas Backes, Davor Dragicevic. 2018-10-03. On the spectral radius of compact operator cocycles. https://doi.org/10.1142/s021949372150026x

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