Abstract
This chapter presents several criteria for hypercyclicity, weak mixing, mixing and chaos, in increasing order of sophistication. It culminates in the Hypercyclicity Criterion, which is discussed in detail. We prove, among other things, that the Hypercyclicity Criterion characterizes the weak mixing property.
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© 2011 Springer-Verlag London Limited
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Grosse-Erdmann, KG., Peris Manguillot, A. (2011). The Hypercyclicity Criterion. In: Linear Chaos. Universitext. Springer, London. https://doi.org/10.1007/978-1-4471-2170-1_3
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DOI: https://doi.org/10.1007/978-1-4471-2170-1_3
Publisher Name: Springer, London
Print ISBN: 978-1-4471-2169-5
Online ISBN: 978-1-4471-2170-1
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