Averaging theorems for linear operators in compact groups and semigroups
Studia Mathematica, Tome 124 (1997) no. 3, pp. 249-258
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
The Weyl criterion for uniform distribution of a sequence has an especially simple form in compact abelian groups. The authors use this and the structure of compact monothetic groups and semigroups to generalise the convergence, under certain compactness conditions, of the operator averages: $n^{-1} ∑_{k=1}^n T^k → P (n→ ∞)$ where P is a projection associated with the eigenvalue one of T.
@article{10_4064_sm_124_3_249_258,
author = {G. J. Murphy},
title = {Averaging theorems for linear operators in compact groups and semigroups},
journal = {Studia Mathematica},
pages = {249--258},
publisher = {mathdoc},
volume = {124},
number = {3},
year = {1997},
doi = {10.4064/sm-124-3-249-258},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-124-3-249-258/}
}
TY - JOUR AU - G. J. Murphy TI - Averaging theorems for linear operators in compact groups and semigroups JO - Studia Mathematica PY - 1997 SP - 249 EP - 258 VL - 124 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4064/sm-124-3-249-258/ DO - 10.4064/sm-124-3-249-258 LA - en ID - 10_4064_sm_124_3_249_258 ER -
%0 Journal Article %A G. J. Murphy %T Averaging theorems for linear operators in compact groups and semigroups %J Studia Mathematica %D 1997 %P 249-258 %V 124 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.4064/sm-124-3-249-258/ %R 10.4064/sm-124-3-249-258 %G en %F 10_4064_sm_124_3_249_258
G. J. Murphy. Averaging theorems for linear operators in compact groups and semigroups. Studia Mathematica, Tome 124 (1997) no. 3, pp. 249-258. doi: 10.4064/sm-124-3-249-258
Cité par Sources :