Operator theoretic aspects of ergodic theory. (2015)

• Record Type: Book
• Further Information: Note: Tanja Eisner, Bálint Farkas, Markus Haase, Rainer Nagel.
• Authors: Eisner, Tanja; Farkas, Blint; Haase, Markus, 1970-; Nagel, R (Rainer)
• Contents: 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.
• Publisher Details: Cham : Springer
• Publication Date: 2015
• Extent: 1 online resource
• Subjects: 515/.48; Mathematics; Ergodic theory; Ergodic theory; Calculus; Mathematics; Physical Sciences & Mathematics; Mathematics -- Functional Analysis; Functional analysis & transforms; Differentiable dynamical systems; Operator theory; Functional analysis; Mathematics -- Mathematical Analysis; Nonlinear science; Electronic books
• Languages: English
• ISBNs: 9783319168982; 3319168983
• Related ISBNs: 9783319168975; 3319168975
• Notes: Note: Includes bibliographical references and index.; Note: Online resource; title from PDF title page (SpringerLink, viewed December 23, 2015).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.