Geodesic
A New Hereditarily l^2 Banach Space
Serdica Mathematical Journal, Tome 35 (2009) no. 1, pp. 75-108.

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We construct a non-reflexive, l^2 saturated Banach space such that every non-reflexive subspace has non-separable dual.
Keywords: l^2-Saturated Spaces, Quasi-Reflexive Spaces 
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Petsoulas, Giorgos. A New Hereditarily l^2 Banach Space. Serdica Mathematical Journal, Tome 35 (2009) no. 1, pp. 75-108. http://geodesic.mathdoc.fr/item/SMJ2_2009_35_1_a4/