Sequential weak convergence in the bidual of a Banach lattice

Sequential weak convergence in the bidual of a Banach lattice
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Proc. Amer. Math. Soc. 53 (1975), 375-378

DOI: https://doi.org/10.1090/S0002-9939-1975-0385511-5

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Let $X$ be a Banach lattice with separable dual. Then the bidual $X''$ is the closure of $X$ under sequential monotone weak convergence.

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Riesz spaces