Abstract
The contents of this chapter are motivated by recent work on the application of ergodic theory to linear dynamics. While the technical difficulties involved prevent us from studying these tools here, we will discuss a new concept that has come out of these investigations, the frequently hypercyclic operators. We obtain, among other things, a Frequent Hypercyclicity Criterion, we show that the three classical hypercyclic operators are frequently hypercyclic, and we revisit properties of hypercyclic and chaotic operators in the context of frequent hypercyclicity.
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© 2011 Springer-Verlag London Limited
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Grosse-Erdmann, KG., Peris Manguillot, A. (2011). Frequently hypercyclic operators. In: Linear Chaos. Universitext. Springer, London. https://doi.org/10.1007/978-1-4471-2170-1_9
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DOI: https://doi.org/10.1007/978-1-4471-2170-1_9
Publisher Name: Springer, London
Print ISBN: 978-1-4471-2169-5
Online ISBN: 978-1-4471-2170-1
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