Lancaster EPrints (Lancaster University) · 2005 · 31 citations · 10 references
Natural SciencesMathematicsAlgebraProbability TheoryStochastic ProcessesErgodic TheoryGroup TheoryMarkov ProcessesNoncommutative AlgebraWeak ConvergenceConvergenceErgodic PropertiesErgodicityPointwise Ergodic TheoremsUniform ConvergenceVon Neumann Algebras
Individual ergodic theorems for free group actions and Besico- vitch weighted ergodic averages are proved in the context of the bilateral al- most uniform convergence in the L 1 -space over a semifinite von Neumann algebra. Some properties of the non-commutative counterparts of the point- wise convergence and the convergence in measure are discussed.
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A Non-Commutative Extension of Abstract Integration
I. E. Segal · Annals of Mathematics · 1953 · 768 citations
Notes on non-commutative integration
Edward Nelson · Journal of Functional Analysis · 1974 · 672 citations
A generalization of Birkhoff's pointwise ergodic theorem
Amos Nevo, Elias M. Stein · Acta Mathematica · 1994 · 78 citations · Full text