Geodesic
Predictable representation property of some Hilbertian martingales
Acta mathematica Universitatis Comenianae, Tome 77 (2008) no. 1 
M. El Kadiri. Predictable representation property of some Hilbertian martingales. Acta mathematica Universitatis Comenianae, Tome 77 (2008) no. 1. http://geodesic.mathdoc.fr/item/AMUC_2008_77_1_a9/
@article{AMUC_2008_77_1_a9,
     author = {M. El Kadiri},
     title = {Predictable representation property of some {Hilbertian} martingales},
     journal = {Acta mathematica Universitatis Comenianae},
     year = {2008},
     volume = {77},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2008_77_1_a9/}
}
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Voir la notice de l'article provenant de la source Comenius University

We prove as for the real case that a martingale with values in a separabale real Hilbert space is extremal if and only if it satisfies the predictable representation property.