Geodesic
Stochastic Banach principle in operator algebras
Genady Ya. Grabarnik1 ; Laura Shwartz2
1IBM T.J. Watson Research Center 19 Skyline Dr. Hawthorne, NY 10532, U.S.A.
2Department of Mathematics Applied Mathematics and Astronomy University of South Africa Pretoria 0003, South Africa
Studia Mathematica, Tome 180 (2007) no. 3, pp. 255-270
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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The classical Banach principle is an essential tool for the investigation of ergodic properties of Cesàro subsequences. The aim of this work is to extend the Banach principle to the case of stochastic convergence in operator algebras. We start by establishing a sufficient condition for stochastic convergence (stochastic Banach principle). Then we prove stochastic convergence for bounded Besicovitch sequences, and as a consequence for uniform subsequences.
DOI : 10.4064/sm180-3-5
Keywords: classical banach principle essential tool investigation ergodic properties ces subsequences work extend banach principle stochastic convergence operator algebras start establishing sufficient condition stochastic convergence stochastic banach principle prove stochastic convergence bounded besicovitch sequences consequence uniform subsequences

Genady Ya. Grabarnik  1   ; Laura Shwartz  2

1 IBM T.J. Watson Research Center 19 Skyline Dr. Hawthorne, NY 10532, U.S.A.
2 Department of Mathematics Applied Mathematics and Astronomy University of South Africa Pretoria 0003, South Africa 
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Genady Ya. Grabarnik; Laura Shwartz. Stochastic Banach principle in operator algebras. Studia Mathematica, Tome 180 (2007) no. 3, pp. 255-270. doi: 10.4064/sm180-3-5

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