A CLASS OF UNIFORM AMARTS INDEXED BY DIYECTED SETS
Citation：
Xue Xinghong.A CLASS OF UNIFORM AMARTS INDEXED BY DIYECTED SETS[J].Chinese Annals of Mathematics B,1986,7(3):373~383
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Authors：
Xue Xinghong;
Abstract：
The main purpose of this paper is to extend the-concept of Bellow's uniform amarts and E-valued martingales indexed by directed sets, and to give a necessary and sufficient
condition for the strong sto. convergence of the net$\[{({x_\tau })_{\tau \in {T^2}}}\]$, this condition is also a necessary and sufficient condition for the strong ess. convergence of the net $\[{({x_\tau })_{\tau \in D}}\]$ when the stochastic basis satisfies the Vitali codition V.
