Stochastic Banach principle in operator algebras

Genady Ya. Grabarnik, and Laura Shwartz. "Stochastic Banach principle in operator algebras." Studia Mathematica 180.3 (2007): 255-270. <http://eudml.org/doc/284802>.

@article{GenadyYa2007,
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.},
author = {Genady Ya. Grabarnik, Laura Shwartz},
journal = {Studia Mathematica},
keywords = {Banach principle; semi-finite von Neumann algebra; non-commutative ergodic theorems; stochastic convergence},
language = {eng},
number = {3},
pages = {255-270},
title = {Stochastic Banach principle in operator algebras},
url = {http://eudml.org/doc/284802},
volume = {180},
year = {2007},
}

TY - JOUR
AU - Genady Ya. Grabarnik
AU - Laura Shwartz
TI - Stochastic Banach principle in operator algebras
JO - Studia Mathematica
PY - 2007
VL - 180
IS - 3
SP - 255
EP - 270
AB - 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.
LA - eng
KW - Banach principle; semi-finite von Neumann algebra; non-commutative ergodic theorems; stochastic convergence
UR - http://eudml.org/doc/284802
ER -