Abstract
In the previous two chapters we introduced the concept of a topological dynamical system and discussed certain basic notions such as minimality, recurrence, and transitivity. However, a deeper study requires a change of perspective: Instead of the state space transformation \( \varphi: K \rightarrow K \) we now consider its
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Notes
- 1.
European authors sometimes use the nomenclature Čech–Stone compactification.
- 2.
Named after Carl Neumann (1832–1925).
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© 2015 Tanja Eisner, Bálint Farkas, Markus Haase, and Rainer Nagel
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Eisner, T., Farkas, B., Haase, M., Nagel, R. (2015). The C ∗-Algebra C(K) and the Koopman Operator. In: Operator Theoretic Aspects of Ergodic Theory. Graduate Texts in Mathematics, vol 272. Springer, Cham. https://doi.org/10.1007/978-3-319-16898-2_4
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DOI: https://doi.org/10.1007/978-3-319-16898-2_4
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