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 su±cient condition for the stochastic convergence (stochastic Banach principle). Then we formulate stochastic convergence for the bounded Besicovitch sequences, and, as consequence for uniform subsequences.
By: Genady Ya. Grabarnik; Laura Shwartz
Published in: RC23870 in 2006
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