Nagel R., Derdinger R., Günther P. — Ergodic theory in the perspective of functional analysis :: Электронная библиотека попечительского совета мехмата МГУ

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Nagel R., Derdinger R., Günther P. — Ergodic theory in the perspective of functional analysis

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Название: Ergodic theory in the perspective of functional analysis

Авторы: Nagel R., Derdinger R., Günther P.

Аннотация:

In the present book we develop the most important and basic results of modern ergodic theory thin the more comprehensive framework of functional analysis. Methods of functional analysis often make it possible to formulate more general results, which elucidate structural similarities of problems arising in different branches of ergodic theory. The 13 Lectures together with the Dicossions (and the Introductory Appendices if necessary) should provide a compact introduction into modern ergodic theory for the newcomer. rhe book will be, however, much easier to comprehend for students with a solid background in functional analysis.

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1987

Количество страниц: 354

Добавлена в каталог: 08.12.2005

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Предметный указатель

Theorem of Chaco — Ornstein      V/10 V/14
Theorem of Dinaburg — Goodman — Goodwyn      XII/8 XIII/5
Theorem of Dinford — Schwartz, Hopf      V/2
Theorem of Ellis      VII/13b
Theorem of Feinstein      Z/20
Theorem of Furstenberg — Weiss      III/13
Theorem of Gelfand — Neumark      C/4
Theorem of Groh — Kummerer      Y/8
Theorem of Hahn — Kolmpgorou      A/6
Theorem of Halmos      X/6
Theorem of Halmos — V.Neumann      VIII/5
Theorem of Jewett — Krieger      IV/33
Theorem of Kac      III/11
Theorem of Kolmogorov — Sinai      XII/7
Theorem of Krein      B/2
Theorem of Krein — Milman      B/2
Theorem of Krein — Rutman      W/15
Theorem of Krengel      V/7
Theorem of Krieger      XII/10
Theorem of Kronecker      D/3
Theorem of Krylov — Bogoliuboy      IV/20
Theorem of Kummerer — Lance      V/21
Theorem of Kushnirenko      XII/23
Theorem of Lebesgue (cowering lemma)      A/1
Theorem of Lebesgue (dominated convergence)      A/6
Theorem of Liouville      I/3 II/17
Theorem of Lotz (peripheral spectrum)      III/15a
Theorem of Lotz (quasi-compact operators)      W/12 W/17
Theorem of Lusin      A/5
Theorem of McMillan      Z/33
Theorem of Nagel — Wolff      VIII/15
Theorem of Ornstein (Bernoulli shifts)      XII/10
Theorem of Poincare      III/1 III/6
Theorem of Pontrjagin      D/2
Theorem of Qrnstein      V/17a
Theorem of Radon — Nikodym      A/3
Theorem of Riesz      B/6
Theorem of Rohlin      X/2
Theorem of Rohlin (category)      X/5
Theorem of Rohlin — Sinai      XII/1B
Theorem of Shannon      Z/23

Theorem of Stone      VI/13
Theorem of Tychonov      A/1
Theorem of Urysohn      A/1
Theorem of v.Neumann      IV/1
Theorem of van der Waerden      III/14
Theorem of Weyl      IV/13
Theorem of Wiener      V/16
Time of mean recurrence      III/11
Topological dynamical system (= TDS)      II/1
Topological entropy (= t-entropy)      XII/2
Topological ergodicity (= topological transitivity)      III/9 IX/15
Topological generator      XII/12a
Topological group      D/1
Topological k-shift      XII/12a
Topological subshift      XII/12a
Total set      B/3
Trace      Y/10
Transinformation      Z/10
Transition matrix      II/7
Transition probability      II/5 II/12
Uniform entropy      XIII/1 XIII/6
Uniform structure      XIII/6
Uniformly ergodic      IV/18 W/1
Uniquely ergodic      IV/30
Unit ball      B/1
Unit circle      D/2
Urysohn's lemma      A/1
Variation (of a function)      IV/23
W*-algebra      V/21
w8-partition      XII/14
Weak Bernoulli system      XII/18
Weak operator topology      B/3
Weak topology      B/1
Weak*operator topology      IV/2
Weak*topology      B/2
Weakly continuous channel      Z/14
Weakly mixing      IX/3
Weighting function      XI/13
Word      Z/7
Zero element      IV/10
Zero-two-law      X/6 X/B

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