Li–Yorke chaos in linear dynamics

By Nilson C. Bernardes, Antonio Bonilla, Vladimír Müller, Alfredo Peris. Ergodic Theory and Dynamical Systems, 2014

90 citations recorded by the source corpus.

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.

Subfields: Algebra and Number Theory, Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/a44a9826467d06872e92243bd39af2619ed6e4f9

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In Algebra and Number Theory

1. Daniel Pellegrino
2. L. González
3. J. Sepúlveda

In Applied Mathematics

1. Daniel Pellegrino
2. L. González
3. J. Sepúlveda

In Mathematical Physics

1. Daniel Pellegrino
2. L. González
3. J. Sepúlveda

Citations in the corpus

• Linear subsets of nonlinear sets in topological vector spaces (2013, background): “Concerning Beauzamy’s irregular vectors, in [86] Bernardes et al.”