Boundedness and growth orders of means of discrete and continuous semigroups of operators

Yuan-Chuan Li, Ryotaro Sato, and Sen-Yen Shaw. "Boundedness and growth orders of means of discrete and continuous semigroups of operators." Studia Mathematica 187.1 (2008): 1-35. <http://eudml.org/doc/284677>.

@article{Yuan2008,
abstract = {We discuss implication relations for boundedness and growth orders of Cesàro means and Abel means of discrete semigroups and continuous semigroups of linear operators. Counterexamples are constructed to show that implication relations between two Cesàro means of different orders or between Cesàro means and Abel means are in general strict, except when the space has dimension one or two.},
author = {Yuan-Chuan Li, Ryotaro Sato, Sen-Yen Shaw},
journal = {Studia Mathematica},
keywords = {-semigroups; Cesàro mean; Abel mean; growth order; mean ergodicity; discrete semigroup},
language = {eng},
number = {1},
pages = {1-35},
title = {Boundedness and growth orders of means of discrete and continuous semigroups of operators},
url = {http://eudml.org/doc/284677},
volume = {187},
year = {2008},
}

TY - JOUR
AU - Yuan-Chuan Li
AU - Ryotaro Sato
AU - Sen-Yen Shaw
TI - Boundedness and growth orders of means of discrete and continuous semigroups of operators
JO - Studia Mathematica
PY - 2008
VL - 187
IS - 1
SP - 1
EP - 35
AB - We discuss implication relations for boundedness and growth orders of Cesàro means and Abel means of discrete semigroups and continuous semigroups of linear operators. Counterexamples are constructed to show that implication relations between two Cesàro means of different orders or between Cesàro means and Abel means are in general strict, except when the space has dimension one or two.
LA - eng
KW - -semigroups; Cesàro mean; Abel mean; growth order; mean ergodicity; discrete semigroup
UR - http://eudml.org/doc/284677
ER -