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On the spectral radius of compact operator cocycles
Stochastics and Dynamics  (IF0.98),  Pub Date : 2020-09-04, DOI: 10.1142/s021949372150026x
Lucas Backes, Davor Dragičević

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.