The characteristic of weak convergence on Banach sequence lattices
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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 $l^\infty$ is formulated.
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Wang, Baoxiang; and Wang, Tingfu. “The characteristic of weak convergence on Banach sequence lattices”. Collectanea Mathematica, vol.VOL 48, no. 4, pp. 799-07, https://raco.cat/index.php/CollectaneaMathematica/article/view/56431.
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