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/