On the almost everywhere convergence of ergodic averages for power-bounded operators on LP-subspaces

1991 ◽  
Vol 14 (5) ◽  
pp. 678-715 ◽  
Author(s):  
Earl Berkson ◽  
Jean Bourgain ◽  
T. A. Gillespie
Keyword(s):  
Bounded Operators ◽  
Ergodic Averages ◽  
Almost Everywhere Convergence ◽  
Almost Everywhere ◽  
Power Bounded Operators ◽  
Lp Subspaces ◽  
Power Bounded

Two Consequences of Brunel's Theorem

1991 ◽  
Vol 34 (1) ◽  
pp. 105-108
Author(s):  
James H. Olsen
Keyword(s):  
Ergodic Theorem ◽  
Bounded Operators ◽  
Positive Power ◽  
Multiple Sequence ◽  
Power Bounded Operators ◽  
Recent Theorem ◽  
The Individual ◽  
Power Bounded

AbstractIn this note we observe two consequences of Brunei's recent theorem. If T1,..., Tn are majorized by positive power-bounded operators S1,..., Sn of Lp, 1 < p < ∞, for which the ergodic theorem holds, then a multiple sequence ergodic theorem holds for T1,....,Tn. Further, the individual convergence for each Tk can be taken along uniform sequences.

scholarly journals POWER-BOUNDED OPERATORS AND RELATED NORM ESTIMATES

2004 ◽  
Vol 70 (02) ◽  
pp. 463-478 ◽  
Author(s):  
N. KALTON ◽  
S. MONTGOMERY-SMITH ◽  
K. OLESZKIEWICZ ◽  
Y. TOMILOV
Keyword(s):  
Bounded Operators ◽  
Norm Estimates ◽  
Power Bounded Operators ◽  
Power Bounded

A van der Corput-type lemma for power bounded operators

2016 ◽  
Vol 285 (1-2) ◽  
pp. 143-158 ◽  
Author(s):  
A. F. M. ter Elst ◽  
V. Müller
Keyword(s):  
Bounded Operators ◽  
Power Bounded Operators ◽  
Power Bounded

scholarly journals Domain characterizations of certain functions of power-bounded operators

2010 ◽  
Vol 196 (3) ◽  
pp. 265-288 ◽  
Author(s):  
Markus Haase ◽  
Yuri Tomilov
Keyword(s):  
Bounded Operators ◽  
Power Bounded Operators ◽  
Power Bounded

scholarly journals Characterizing Fréchet–Schwartz spaces via power bounded operators

2014 ◽  
Vol 224 (1) ◽  
pp. 25-45
Author(s):  
Angela A. Albanese ◽  
José Bonet ◽  
Werner J. Ricker
Keyword(s):  
Bounded Operators ◽  
Power Bounded Operators ◽  
Power Bounded
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