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On individual subsequential ergodic theorem in von Neumann algebras

Volume 145 / 2001

Semyon Litvinov, Farrukh Mukhamedov Studia Mathematica 145 (2001), 55-62 MSC: Primary 46L50; Secondary 47A35. DOI: 10.4064/sm145-1-3

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.

Authors

  • Semyon LitvinovDepartment of Mathematics
    North Dakota State University
    Fargo, ND 58105, U.S.A.
    Current address
    Department of Statistics
    St. Cloud State University
    St. Cloud, MN 56301, U.S.A.
    e-mail
  • Farrukh MukhamedovInstitute of Mathematics
    Uzbekistan Academy of Sciences
    F. Hodjaev st. 29
    Tashkent, 700143, Uzbekistan
    e-mail

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