On almost sure convergence of amarts and martingales without the Radon-Nikodym property |
| |
| Authors: | Valeria Marraffa |
| |
| Affiliation: | (1) Department of Mathematics, The Ohio State University, 43210 Columbus, Ohio;(2) Dipa timento di Matematica ed Applicazioni, Universita'degli Studi di Palermo, 90123 Palermo, Italy |
| |
| Abstract: | ![]()
It is shown here that for any Banach spaceE-valued amart (Xn) of classB, almost sure convergence off(Xn) tof(X) for eachf in a total subset ofE* implies scalar convergence toX. |
| |
| Keywords: | Amarts martingales Radon-Nikodym property Banach space valued process almost sure convergence |
| 本文献已被 SpringerLink 等数据库收录！ |
|
