Eurasian mathematical journal, Tome 5 (2014) no. 3, pp. 125-128
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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/
@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},
year = {2014},
volume = {5},
number = {3},
language = {en},
url = {http://geodesic.mathdoc.fr/item/EMJ_2014_5_3_a8/}
}
TY - JOUR
AU - A. A. Rakhimov
TI - The predual space of a $\mathrm{JBW}^*$-triple
JO - Eurasian mathematical journal
PY - 2014
SP - 125
EP - 128
VL - 5
IS - 3
UR - http://geodesic.mathdoc.fr/item/EMJ_2014_5_3_a8/
LA - en
ID - EMJ_2014_5_3_a8
ER -
%0 Journal Article
%A A. A. Rakhimov
%T The predual space of a $\mathrm{JBW}^*$-triple
%J Eurasian mathematical journal
%D 2014
%P 125-128
%V 5
%N 3
%U http://geodesic.mathdoc.fr/item/EMJ_2014_5_3_a8/
%G en
%F EMJ_2014_5_3_a8
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.