Abstract
This chapter treats hypercyclicity and linear chaos in their most natural (and most general) setting, that of topological vector spaces. After a brief introduction to such spaces we revisit many of the results previously obtained in the book and show that they hold in great generality. We also derive dynamical transference principles which allow us to transfer the dynamical properties of operators on F-spaces to operators on general topological vector spaces.
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© 2011 Springer-Verlag London Limited
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Grosse-Erdmann, KG., Peris Manguillot, A. (2011). Linear dynamics in topological vector spaces. In: Linear Chaos. Universitext. Springer, London. https://doi.org/10.1007/978-1-4471-2170-1_12
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DOI: https://doi.org/10.1007/978-1-4471-2170-1_12
Publisher Name: Springer, London
Print ISBN: 978-1-4471-2169-5
Online ISBN: 978-1-4471-2170-1
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