The predual space of a $\mathrm{JBW}^*$-triple
Eurasian mathematical journal, Tome 5 (2014) no. 3, pp. 125-128
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In the paper $\mathrm{JB}^*$-triples which are dual Banach spaces are considered as analogues of $\mathrm{JBW}^*$-algebras. For $\mathrm{JBW}^*$-triples an analogue of the classical theorem of Vitali–Hahn–Saks on convergent sequences of measures and a theorem on weak compactness of a set of normal functionals are proved.
@article{EMJ_2014_5_3_a8,
author = {A. A. Rakhimov},
title = {The predual space of a $\mathrm{JBW}^*$-triple},
journal = {Eurasian mathematical journal},
pages = {125--128},
publisher = {mathdoc},
volume = {5},
number = {3},
year = {2014},
language = {en},
url = {http://geodesic.mathdoc.fr/item/EMJ_2014_5_3_a8/}
}
A. A. Rakhimov. The predual space of a $\mathrm{JBW}^*$-triple. Eurasian mathematical journal, Tome 5 (2014) no. 3, pp. 125-128. http://geodesic.mathdoc.fr/item/EMJ_2014_5_3_a8/