A characterization of weakly sequentially complete Banach lattices
Wickstead, A. W.
Annales de l'Institut Fourier, Tome 26 (1976), p. 25-28 / Harvested from Numdam
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On montre que pour tout espace de Banach E réticulé, les deux propriétés suivantes sont équivalentes :

1) E est faiblement séquentiellement complet.

2) Toute forme linéaire σ(E ′ ,E)-mesurable sur le dual topologique E ′ est continue.

The equivalence of the two following properties is proved for every Banach lattice E:

1) E is weakly sequentially complete.

2) Every σ(E * ,E)-Borel measurable linear functional on E is σ(E * ,E)-continuous.

@article{AIF_1976__26_2_25_0,
     author = {Wickstead, A. W.},
     title = {A characterization of weakly sequentially complete Banach lattices},
     journal = {Annales de l'Institut Fourier},
     volume = {26},
     year = {1976},
     pages = {25-28},
     doi = {10.5802/aif.611},
     mrnumber = {53 \#14080},
     zbl = {0295.46017},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIF_1976__26_2_25_0}
}

Wickstead, A. W. A characterization of weakly sequentially complete Banach lattices. Annales de l'Institut Fourier, Tome 26 (1976) pp. 25-28. doi : 10.5802/aif.611. http://gdmltest.u-ga.fr/item/AIF_1976__26_2_25_0/

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