Stochastic Banach Principle in Operator Algebras

Details Stochastic Banach Principle in Operator Algebras Stochastic Banach Principle in Operator Algebras

2006-06-20

arxiv.org/abs/math/0606487v1

Mathematics

Operator Algebras

Scientific paper

Classical Banach principle is an essential tool for the investigation of the ergodic properties of Cesaro subsequences. The aim of this work is to extend Banach principle to the case of the stochastic convergence in the operator algebras. We start by establishing a sufficient condition for the stochastic convergence (stochastic Banach principle). Then we formulate stochastic convergence for the bounded Besicovitch sequences, and, as consequence for uniform subsequences.

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