A+ CATEGORY SCIENTIFIC UNIT

Stochastic Banach principle in operator algebras

Volume 180 / 2007

Genady Ya. Grabarnik, Laura Shwartz Studia Mathematica 180 (2007), 255-270 MSC: Primary 46L51; Secondary 37A30. DOI: 10.4064/sm180-3-5

Abstract

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.

Authors

  • Genady Ya. GrabarnikIBM T.J. Watson Research Center
    19 Skyline Dr.
    Hawthorne, NY 10532, U.S.A.
    e-mail
  • Laura ShwartzDepartment of Mathematics
    Applied Mathematics and Astronomy
    University of South Africa
    Pretoria 0003, South Africa
    e-mail

Search for IMPAN publications

Query phrase too short. Type at least 4 characters.

Rewrite code from the image

Reload image

Reload image