Li-Yorke chaos in linear dynamics
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https://riunet.upv.es/handle/10251/71557
Cita bibliográfica
Bernardes, N.; Bonilla, A.; Müller, V.; Peris Manguillot, A. (2015). Li-Yorke chaos in linear dynamics. Ergodic Theory and Dynamical Systems. 35:1723-1745. https://doi.org/10.1017/etds.2014.20
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Resumen
We obtain new characterizations of Li Yorke chaos for linear operators on Banach and Fréchet spaces. We also offer conditions under which an operator admits a dense set or linear manifold of irregular vectors. Some of our general results are applied to composition operators and adjoint multipliers on spaces of holomorphic functions.
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Ergodic Theory and Dynamical Systems issn: 0143-3857