Operator theoretic aspects of ergodic theory / Tanja Eisner, Bálint Farkas, Markus Haase, Rainer Nagel.

Springer eBooks

What is Ergodic Theory? -- Topological Dynamical Systems -- Minimality and Recurrence -- The C*-algebra C(K) and the Koopman Operator -- Measure-Preserving Systems -- Recurrence and Ergodicity -- The Banach Lattice Lp and the Koopman Operator -- The Mean Ergodic Theorem -- Mixing Dynamical Systems -- Mean Ergodic Operators on C(K) -- The Pointwise Ergodic Theorem -- Isomorphisms and Topological Models -- Markov Operators -- Compact Semigroups and Groups -- Topological Dynamics Revisited -- The Jacobs–de Leeuw–Glicksberg Decomposition -- Dynamical Systems with Discrete Spectrum -- A Glimpse at Arithmetic Progressions -- Joinings -- The Host–Kra– Tao Theorem -- More Ergodic Theorems -- Appendix A: Topology -- Appendix B: Measure and Integration Theory.- Appendix C: Functional Analysis -- Appendix D: The Riesz Representation Theorem -- Appendix E: Theorems of Eberlein, Grothendieck, and Ellis.

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