Isbn: 9783319371054 - operator theoretic aspects of ergodic theory: 272 (graduate texts in mathematics, 272) (22 resultados)

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Paperback. Condición: New. 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 notions of isomorphism for measure-preserving systems.   Markov operators, and the related concept of a factor of a measure preserving system.   compact groups and semigroups, and a powerful tool in their study, the Jacobs-de Leeuw-Glicksberg decomposition.   an introduction to the spectral theory of dynamical systems, the theorems of Furstenberg and Weiss on multiple recurrence, and applications of dynamical systems to combinatorics (theorems of van der Waerden, Gallai,and Hindman, Furstenberg's Correspondence Principle, theorems of Roth and Furstenberg-Sárközy)Beyond its use in the classroom, Operator Theoretic Aspects of Ergodic Theory can serve as a valuable foundation for doing research at the intersection of ergodic theory and operator theory Softcover reprint of the original 1st ed. 2015.…

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Taschenbuch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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 examplesof 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 notions of isomorphism for measure-preserving systems- Markov operators, and the related concept of a factor of a measure preserving system- compact groups and semigroups, and a powerful tool in their study, the Jacobs-de Leeuw-Glicksberg decomposition- an introduction to the spectral theory of dynamical systems, the theorems of Furstenberg and Weiss on multiple recurrence, and applications of dynamical systems to combinatorics (theorems of van der Waerden, Gallai,and Hindman, Furstenberg's Correspondence Principle, theorems of Roth and Furstenberg-Sárközy)Beyond its use in the classroom, Operator Theoretic Aspects of Ergodic Theory can serve as a valuable foundation for doing research at the intersection of ergodic theory and operator theory.…

Condición: New. pp. XVIII, 628 Softcover reprint of the original 1st ed. 2015 edition NO-PA16APR2015-KAP.

Taschenbuch. Condición: Neu. Operator Theoretic Aspects of Ergodic Theory | Tanja Eisner (u. a.) | Taschenbuch | Graduate Texts in Mathematics | xviii | Englisch | 2016 | Springer | EAN 9783319371054 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. …

Paperback. Condición: Brand New. reprint edition. 628 pages. 9.25x6.10x1.30 inches. In Stock.

Condición: New.

Paperback. Condición: New. 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 notions of isomorphism for measure-preserving systems.   Markov operators, and the related concept of a factor of a measure preserving system.   compact groups and semigroups, and a powerful tool in their study, the Jacobs-de Leeuw-Glicksberg decomposition.   an introduction to the spectral theory of dynamical systems, the theorems of Furstenberg and Weiss on multiple recurrence, and applications of dynamical systems to combinatorics (theorems of van der Waerden, Gallai,and Hindman, Furstenberg's Correspondence Principle, theorems of Roth and Furstenberg-Sárközy)Beyond its use in the classroom, Operator Theoretic Aspects of Ergodic Theory can serve as a valuable foundation for doing research at the intersection of ergodic theory and operator theory Softcover reprint of the original 1st ed. 2015.…

Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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 examplesof 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 notions of isomorphism for measure-preserving systems- Markov operators, and the related concept of a factor of a measure preserving system- compact groups and semigroups, and a powerful tool in their study, the Jacobs-de Leeuw-Glicksberg decomposition- an introduction to the spectral theory of dynamical systems, the theorems of Furstenberg and Weiss on multiple recurrence, and applications of dynamical systems to combinatorics (theorems of van der Waerden, Gallai,and Hindman, Furstenberg's Correspondence Principle, theorems of Roth and Furstenberg-Sárközy)Beyond its use in the classroom, Operator Theoretic Aspects of Ergodic Theory can serve as a valuable foundation for doing research at the intersection of ergodic theory and operator theory 648 pp. Englisch.…

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Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Treats both classical and recent results in ergodic theory from a modern analytic perspective?Assumes no background in ergodic theory, while providing a review of basic results in functional analysisProvides a foundation for understanding r.…

Condición: New. Print on Demand pp. XVIII, 628.

Taschenbuch. Condición: Neu. This item is printed on demand - Print on Demand Titel. Neuware -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.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 648 pp. Englisch.…

Condición: New. PRINT ON DEMAND pp. XVIII, 628.