Uniformly ergodic A-contractions on Hilbert spaces

Laurian Suciu. "Uniformly ergodic A-contractions on Hilbert spaces." Studia Mathematica 194.1 (2009): 1-22. <http://eudml.org/doc/286165>.

@article{LaurianSuciu2009,
abstract = {We study the concept of uniform (quasi-) A-ergodicity for A-contractions on a Hilbert space, where A is a positive operator. More precisely, we investigate the role of closedness of certain ranges in the uniformly ergodic behavior of A-contractions. We use some known results of M. Lin, M. Mbekhta and J. Zemánek, and S. Grabiner and J. Zemánek, concerning the uniform convergence of the Cesàro means of an operator, to obtain similar versions for A-contractions. Thus, we continue the study of A-ergodic operators developed earlier by the author.},
author = {Laurian Suciu},
journal = {Studia Mathematica},
keywords = {mean ergodic operator; uniformly ergodic operator; -contraction; -ergodicity; uniform -ergodicity},
language = {eng},
number = {1},
pages = {1-22},
title = {Uniformly ergodic A-contractions on Hilbert spaces},
url = {http://eudml.org/doc/286165},
volume = {194},
year = {2009},
}

TY - JOUR
AU - Laurian Suciu
TI - Uniformly ergodic A-contractions on Hilbert spaces
JO - Studia Mathematica
PY - 2009
VL - 194
IS - 1
SP - 1
EP - 22
AB - We study the concept of uniform (quasi-) A-ergodicity for A-contractions on a Hilbert space, where A is a positive operator. More precisely, we investigate the role of closedness of certain ranges in the uniformly ergodic behavior of A-contractions. We use some known results of M. Lin, M. Mbekhta and J. Zemánek, and S. Grabiner and J. Zemánek, concerning the uniform convergence of the Cesàro means of an operator, to obtain similar versions for A-contractions. Thus, we continue the study of A-ergodic operators developed earlier by the author.
LA - eng
KW - mean ergodic operator; uniformly ergodic operator; -contraction; -ergodicity; uniform -ergodicity
UR - http://eudml.org/doc/286165
ER -