Sequential weak convergence in the bidual of a Banach lattice

Sequential weak convergence in the bidual of a Banach lattice
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by John L. B. Gamlen PDF

Proc. Amer. Math. Soc. 53 (1975), 375-378 Request permission

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

References

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Riesz spaces