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Operator Theoretic Aspects of Ergodic Theory

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Cover of 'Operator Theoretic Aspects of Ergodic Theory'

Table of Contents

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    Book Overview
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    Chapter 1 What Is Ergodic Theory?
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    Chapter 2 Topological Dynamical Systems
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    Chapter 3 Minimality and Recurrence
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    Chapter 4 The C ∗-Algebra C(K) and the Koopman Operator
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    Chapter 5 Measure-Preserving Systems
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    Chapter 6 Recurrence and Ergodicity
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    Chapter 7 The Banach Lattice L p $$\mathrm{L}^{\!p}$$ and the Koopman Operator
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    Chapter 8 The Mean Ergodic Theorem
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    Chapter 9 Mixing Dynamical Systems
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    Chapter 10 Mean Ergodic Operators on C(K)
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    Chapter 11 The Pointwise Ergodic Theorem
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    Chapter 12 Isomorphisms and Topological Models
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    Chapter 13 Markov Operators
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    Chapter 14 Compact Groups
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    Chapter 15 Group Actions and Representations
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    Chapter 16 The Jacobs–de Leeuw–Glicksberg Decomposition
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    Chapter 17 The Kronecker Factor and Systems with Discrete Spectrum
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    Chapter 18 The Spectral Theorem and Dynamical Systems
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    Chapter 19 Topological Dynamics and Colorings
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    Chapter 20 Arithmetic Progressions and Ergodic Theory
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    Chapter 21 More Ergodic Theorems
Attention for Chapter 18: The Spectral Theorem and Dynamical Systems
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