Geodesic
The Rainwater--Simons weak convergence theorem for the Brown associated norm
Eurasian mathematical journal, Tome 5 (2014) no. 2, pp. 126-131

Voir la notice de l'article provenant de la source Math-Net.Ru

The Rainwater–Simons weak convergence theorem is extended to the convergence with respect to the associated norm (in the sense of Brown), the latter proved useful, inter alia, in testing the membership of a point to the Banach–Mazur hull of two points, which is the intersection of all closed balls containing these points. 
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     author = {A. R. Alimov},
     title = {The {Rainwater--Simons} weak convergence theorem for the {Brown} associated norm},
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     url = {http://geodesic.mathdoc.fr/item/EMJ_2014_5_2_a5/}
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A. R. Alimov. The Rainwater--Simons weak convergence theorem for the Brown associated norm. Eurasian mathematical journal, Tome 5 (2014) no. 2, pp. 126-131. http://geodesic.mathdoc.fr/item/EMJ_2014_5_2_a5/