On individual subsequential ergodic theorem in von Neumann algebras
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.AFarrukh MukhamedovInstitute of Mathematics Uzbekistan Academy of Sciences F. Hodjaev st. 29 Tashkent, 700143, Uzbekistan
ABI
Annotatsiya
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.
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