Operator Theoretic Aspects of Ergodic Theory

Graduate Texts in Mathematics 272

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


Rezension
"This book can serve as a good introduction to an active research area. Each chapter ends with a nice list of exercises. At the end of the book complementary material can be found on measure theory, functional analysis, operator theory, the Riesz representation theorem, and more. This makes the book self-contained. The book has the potential to become a basic reference in this field." (Idris Assani, Mathematical Reviews, January, 2017)
Portrait
Tanja Eisner is a Professor of Mathematics at the University of Leipzig. Bálint Farkas is a Professor of Mathematics at the University of Wuppertal. Markus Haase is a Professor of Mathematics at the Delft Institute of Applied Mathematics. Rainer Nagel is a Professor of Mathematics at the University of Tübingen.
… weiterlesen
In den Warenkorb
Filialabholung

Versandkostenfrei

Beschreibung

Produktdetails


Einband gebundene Ausgabe
Seitenzahl 628
Erscheinungsdatum 28.11.2015
Serie Graduate Texts in Mathematics 272
Sprache Englisch
ISBN 978-3-319-16897-5
Verlag Springer
Maße (L/B/H) 241/158/38 mm
Gewicht 1228
Abbildungen 12 schwarz-weiße Abbildungen, Bibliographie
Auflage 1st ed. 2015
Buch (gebundene Ausgabe, Englisch)
82,99
inkl. gesetzl. MwSt.
Sofort lieferbar
Versandkostenfrei
In den Warenkorb
Filialabholung

Versandkostenfrei

Andere Kunden interessierten sich auch für

  • 91569573
    Fire and Fury
    von Michael Wolff
    Buch (Taschenbuch)
    13,99
  • 39151356
    Harry Potter: The Complete Collection
    von Joanne K. Rowling
    (18)
    Buch (Taschenbuch)
    47,99 bisher 83,45
  • 43564382
    Milk and Honey
    von Rupi Kaur
    (4)
    Buch (Taschenbuch)
    12,99 bisher 14,99
  • 61749461
    The Sun and Her Flowers
    von Rupi Kaur
    (4)
    Buch (Taschenbuch)
    12,99
  • 70728844
    Turtles All the Way Down
    von John Green
    (6)
    Buch (gebundene Ausgabe)
    13,99
  • 1719784
    The Giver
    von Lois Lowry
    (1)
    Schulbuch (Taschenbuch)
    9,99
  • 45070243
    The Subtle Art of Not Giving A F*ck
    von Mark Manson
    Buch (Taschenbuch)
    11,99
  • 47719298
    The Princess Saves Herself in This One
    von Amanda Lovelace
    (2)
    Buch (Taschenbuch)
    9,99
  • 56877137
    Still Me
    von Jojo Moyes
    Buch (Taschenbuch)
    13,99
  • 17914934
    One Line a Day
    von Books LLC Staff Chronicle
    (2)
    Buch
    9,99
  • 40108511
    Sapiens
    von Yuval Noah Harari
    Buch (Taschenbuch)
    9,99
  • 17345365
    Cornelsen Senior English Library - Literatur / Ab 10. Schuljahr - Looking for Alaska
    von John Green
    (22)
    Schulbuch (Taschenbuch)
    10,25
  • 42416940
    George R. R. Martin's a Game of Thrones Leather Cloth Boxed Set (Song of Ice and Fire Series)
    von George R. R. Martin
    (9)
    Buch (Leder)
    41,99 bisher 67,49
  • 31405171
    Game of Thrones 5-Copy Boxed Set
    von George R. R. Martin
    (9)
    Buch (Taschenbuch)
    25,90 bisher 37,49
  • 34910866
    The Life List
    von Lori Nelson Spielman
    (7)
    Buch (Taschenbuch)
    6,99 bisher 9,70
  • 32901389
    The Hunger Games
    von Suzanne Collins
    (1)
    Schulbuch (Taschenbuch)
    9,20
  • 3012489
    The Lord of the Rings 1/3
    von J. R. R. Tolkien
    (7)
    Buch (Taschenbuch)
    15,99 bisher 23,99
  • 17943534
    The Absolutely True Diary of a Part-Time Indian
    von Sherman Alexie
    (1)
    Schulbuch (Taschenbuch)
    9,20
  • 38930428
    We Were Liars
    von E. Lockhart
    (16)
    Buch (Taschenbuch)
    7,99 bisher 10,49

Weitere Bände von Graduate Texts in Mathematics

  • Band 267

    34414936
    Quantum Theory for Mathematicians
    von Brian Hall
    Buch
    82,99
  • Band 270

    39699426
    Fundamentals of Algebraic Topology
    von Steven Weintraub
    Buch
    59,99
  • Band 271

    39772632
    Integer Programming
    von Michele Conforti
    Buch
    49,99
  • Band 272

    41818731
    Operator Theoretic Aspects of Ergodic Theory
    von Tanja Eisner
    Buch
    82,99
    Sie befinden sich hier
  • Band 273

    43476303
    Homotopical Topology
    von Anatoly Fomenko
    Buch
    77,99
  • Band 274

    44724437
    Brownian Motion, Martingales, and Stochastic Calculus
    von Jean-François Le Gall
    Buch
    59,99
  • Band 275

    54736317
    Differential Geometry
    von Loring W. Tu
    Buch
    65,99

Kundenbewertungen


Es wurden noch keine Bewertungen geschrieben.

Wird oft zusammen gekauft

Operator Theoretic Aspects of Ergodic Theory - Tanja Eisner, Bálint Farkas, Markus Haase, Rainer Nagel

Operator Theoretic Aspects of Ergodic Theory

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

Buch (gebundene Ausgabe, Englisch)
82,99
+
=
Fire and Fury: Inside the Trump White House - Michael Wolff

Fire and Fury: Inside the Trump White House

von Michael Wolff

Buch (gebundene Ausgabe)
16,99
+
=

für

99,98

inkl. gesetzl. MwSt.

Alle kaufen