Geodesic
Weak $*$ derived sets of sets of linear functionals
Matematičeskie zametki, Tome 23 (1978) no. 4, pp. 607-616

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For a Banach space $X$ the $w^*$–sequential closure operator in the adjoint space is, in general, not the topological closure operator. That is, it may happen that the $w^*$–sequential closure of a subspace $\Gamma$ of $X^*$ is not $w^*$–sequentially closed. The possible length of the chain of repeated $w^*$–sequential closures of a subspace of $X^*$ in dependence on the dimension of $X^{**}/X$ is investigated. 
@article{MZM_1978_23_4_a12,
     author = {B. V. Godun},
     title = {Weak $*$ derived sets of sets of linear functionals},
     journal = {Matemati\v{c}eskie zametki},
     pages = {607--616},
     publisher = {mathdoc},
     volume = {23},
     number = {4},
     year = {1978},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1978_23_4_a12/}
}
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B. V. Godun. Weak $*$ derived sets of sets of linear functionals. Matematičeskie zametki, Tome 23 (1978) no. 4, pp. 607-616. http://geodesic.mathdoc.fr/item/MZM_1978_23_4_a12/