6533b826fe1ef96bd1283ae5
RESEARCH PRODUCT
On almost sure convergence of amarts and martingales without the Radon-Nikodym property
Valeria MarraffaValeria Marraffasubject
Statistics and ProbabilityRadon–Nikodym theoremDiscrete mathematicsPure mathematicsConvergence of random variablesGeneral MathematicsScalar (mathematics)Statistics Probability and UncertaintyMathematicsdescription
It is shown here that for any Banach spaceE-valued amart (X n) of classB, almost sure convergence off(Xn) tof(X) for eachf in a total subset ofE * implies scalar convergence toX.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1988-07-01 | Journal of Theoretical Probability |