On individual subsequential ergodic theorem in von Neumann algebras
Volume 145 / 2001
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.