Two Consequences of Brunel's Theorem
Keyword(s):
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.
On the punctual and local ergodic theorem for nonpositive power bounded operators in $L\sp p\sb {{\bf C}}[0,1],\;1
1986 ◽
Vol 96
(2)
◽
pp. 306-306
Keyword(s):
Keyword(s):
2010 ◽
Vol 59
(3)
◽
pp. 1121-1144
◽
1996 ◽
Vol 141
(1)
◽
pp. 133-158
◽
2004 ◽
Vol 70
(02)
◽
pp. 463-478
◽
2016 ◽
Vol 285
(1-2)
◽
pp. 143-158
◽