On the spectral radius of compact operator cocycles
Dynamical Systems
2020-10-20 v2
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.
Keywords
Cite
@article{arxiv.1810.01762,
title = {On the spectral radius of compact operator cocycles},
author = {Lucas Backes and Davor Dragicevic},
journal= {arXiv preprint arXiv:1810.01762},
year = {2020}
}
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Final version