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XI: 10, 109-119, LNM 581 (1977)

**MEYER, Paul-André**

Convergence faible de processus, d'après Mokobodzki (General theory of processes)

The following simple question of Benveniste was answered positively by Mokobodzki (*Séminaire de Théorie du Potentiel,* Lect. Notes in M. 563, 1976): given a sequence $(U^n)$ of optional processes such that $U^n_T$ converges weakly in $L^1$ for every stopping time $T$, does there exist an optional process $U$ such that $U^n_T$ converges to $U_T$? The proof is rather elaborate

Keywords: Weak convergence in $L^1$

Nature: Exposition

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Convergence faible de processus, d'après Mokobodzki (General theory of processes)

The following simple question of Benveniste was answered positively by Mokobodzki (

Keywords: Weak convergence in $L^1$

Nature: Exposition

Retrieve article from Numdam