A sufficient and necessary condition for weak convergence of sequences in a class of Banach sequence lattices is obtained. As a direct application, a complete criterion of a weak convergence of sequences in l infinity is formulated.
@article{urn:eudml:doc:41017,
title = {The characteristic of weak convergence on Banach sequence lattices.},
journal = {Collectanea Mathematica},
volume = {48},
year = {1997},
pages = {799-807},
zbl = {0903.46020},
mrnumber = {MR1602593},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41017}
}
Wang, Baoxiang; Wang, Tingfu. The characteristic of weak convergence on Banach sequence lattices.. Collectanea Mathematica, Tome 48 (1997) pp. 799-807. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41017/