Stochastic Banach principle in operator algebras

• Autorzy: Genady Ya. Grabarnik , Laura Shwartz
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 37A30: Ergodic theorems, spectral theory, Markov operators
• 46L51: Noncommutative measure and integration

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2007
• Tom: 180
• Numer: 3
• Strony: 255-270

Daty

wydano

2007

Twórcy

autor

Genady Ya. Grabarnik

• IBM T.J. Watson Research Center, 19 Skyline Dr., Hawthorne, NY 10532, U.S.A.

autor

Laura Shwartz

• Department of Mathematics, Applied Mathematics and Astronomy, University of South Africa, Pretoria 0003, South Africa

Identyfikatory

DOI

10.4064/sm180-3-5