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Operator Theoretic Aspects of Ergodic Theory [recurso electrónico] $c by Eisner, Tanja, Farkas, Bálint, Haase, Markus, Nagel, Rainer is a nonfiction available to read on EtoBox.

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Stunning recent results by Host–Kra, Green–Tao, and others, highlight the timeliness of this systematic introduction to classical ergodic theory using the tools of operator theory. Assuming no prior exposure to ergodic theory, this book provides a modern foundation for introductory courses on ergodic theory, especially for students or researchers with an interest in functional analysis. While basic analytic notions and results are reviewed in several appendices, more advanced operator theoretic topics are developed in detail, even beyond their immediate connection with ergodic theory. As a consequence, the book is also suitable for advanced or special-topic courses on functional analysis with applications to ergodic theory. Topics include: • an intuitive introduction to ergodic theory • an introduction to the basic notions, constructions, and standard examples of topological dynamical systems • Koopman operators, Banach lattices, lattice and algebra homomorphisms, and the Gelfand–Naimark theorem • measure-preserving dynamical systems • von Neumann’s Mean Ergodic Theorem and Birkhoff’s Pointwise Ergodic Theorem • strongly and weakly mixing systems • an examination of n

Who reads Operator Theoretic Aspects of Ergodic Theory [recurso electrónico] $c?

Author

Eisner, Tanja, Farkas, Bálint, Haase, Markus, Nagel, Rainer

Publisher

Springer International Publishing : Imprint : Springer

Published

2015

Language

EN

ISBN

9783319168982

Category

nonfiction

Subjects

Mathematics, Science, Stem