The Dominated Ergodic Estimate for Mean Bounded, Invertible, Positive Operators
Copyright policy )The Dominated Ergodic Estimate for Mean Bounded, Invertible, Positive Operators
We characterize those positive linear operators with positive inverse for which the dominated ergodic estimate holds. We also prove that for such operators one has mean and a.e. convergence.
individual ergodic theorem, dominated ergodic theorem, positive linear operators with positive inverse, Ergodic theory of linear operators, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.), dominated ergodic estimate
individual ergodic theorem, dominated ergodic theorem, positive linear operators with positive inverse, Ergodic theory of linear operators, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.), dominated ergodic estimate
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).21 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!