On individual subsequential ergodic theorem in von Neumann algebras

Semyon Litvinov; Farrukh Mukhamedov

Studia Mathematica (2001)

  • Volume: 145, Issue: 1, page 55-62
  • ISSN: 0039-3223

Abstract

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We use a non-commutative generalization of the Banach Principle to show that the classical individual ergodic theorem for subsequences generated by means of uniform sequences can be extended to the von Neumann algebra setting.

How to cite

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Semyon Litvinov, and Farrukh Mukhamedov. "On individual subsequential ergodic theorem in von Neumann algebras." Studia Mathematica 145.1 (2001): 55-62. <http://eudml.org/doc/284949>.

@article{SemyonLitvinov2001,
abstract = {We use a non-commutative generalization of the Banach Principle to show that the classical individual ergodic theorem for subsequences generated by means of uniform sequences can be extended to the von Neumann algebra setting.},
author = {Semyon Litvinov, Farrukh Mukhamedov},
journal = {Studia Mathematica},
keywords = {non-commutative generalization of the Banach principle; individual ergodic theorem},
language = {eng},
number = {1},
pages = {55-62},
title = {On individual subsequential ergodic theorem in von Neumann algebras},
url = {http://eudml.org/doc/284949},
volume = {145},
year = {2001},
}

TY - JOUR
AU - Semyon Litvinov
AU - Farrukh Mukhamedov
TI - On individual subsequential ergodic theorem in von Neumann algebras
JO - Studia Mathematica
PY - 2001
VL - 145
IS - 1
SP - 55
EP - 62
AB - We use a non-commutative generalization of the Banach Principle to show that the classical individual ergodic theorem for subsequences generated by means of uniform sequences can be extended to the von Neumann algebra setting.
LA - eng
KW - non-commutative generalization of the Banach principle; individual ergodic theorem
UR - http://eudml.org/doc/284949
ER -

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