6533b824fe1ef96bd1280bea
RESEARCH PRODUCT
On ergodic operator means in Banach spaces
Alexandru AlemanLaurian Suciusubject
Discrete mathematicsAlgebra and Number Theory010102 general mathematicsContext (language use)010103 numerical & computational mathematicsFinite-rank operatorShift operatorCompact operator01 natural sciencesStrictly singular operatorFunctional Analysis (math.FA)Mathematics - Functional AnalysisOperator (computer programming)Multiplication operatorFOS: MathematicsErgodic theory0101 mathematicsAnalysisMathematicsdescription
We consider a large class of operator means and prove that a number of ergodic theorems, as well as growth estimates known for particular cases, continue to hold in the general context under fairly mild regularity conditions. The methods developed in the paper not only yield a new approach based on a general point of view, but also lead to results that are new, even in the context of the classical Cesaro means.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2016-05-11 |