Abstract
LetX be a Banach space and letZ be a closed subspace ofX** which containsX. It is proved in this paper that, in the caseX** separable, there exists a closed subspaceY ofX such thatX+\(\bar Y\)=Z,\(\bar Y\) the closure ofY inX** for the weak-star topology.
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Valdivia, M. Banach spacesX withX** separable. Israel J. Math. 59, 107–111 (1987). https://doi.org/10.1007/BF02779670
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DOI: https://doi.org/10.1007/BF02779670