Abstract
We formulate new conditions of Barbashin type for exponential stability of linear cocycles on arbitrary Banach spaces. We consider both cocycles over maps and flows. Our arguments rely on ergodic theory.
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I would like to thank the anonymous referees for their constructive comments that helped me to correct some inaccuracies in the first version of the paper.
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Communicated by H. Bruin.
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Davor Dragičević was supported in part by Croatian Science Foundation under the Project IP-2019-04-1239 and by the University of Rijeka under the Projects uniri-prirod-18-9 and uniri-prprirod-19-16, 17.15.2.2.01.
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Dragičević, D. Barbashin-type conditions for exponential stability of linear cocycles. Monatsh Math 192, 813–826 (2020). https://doi.org/10.1007/s00605-020-01438-z
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DOI: https://doi.org/10.1007/s00605-020-01438-z