It is shown that there exists a Banach space with an unconditional basis which is not $c_0$-saturated, but whose dual is $\ell^1$-saturated.
@article{118858, author = {Denny H. Leung}, title = {A note on Banach spaces with $\ell^1$-saturated duals}, journal = {Commentationes Mathematicae Universitatis Carolinae}, volume = {37}, year = {1996}, pages = {515-517}, zbl = {0881.46016}, mrnumber = {1426916}, language = {en}, url = {http://dml.mathdoc.fr/item/118858} }
Leung, Denny H. A note on Banach spaces with $\ell^1$-saturated duals. Commentationes Mathematicae Universitatis Carolinae, Tome 37 (1996) pp. 515-517. http://gdmltest.u-ga.fr/item/118858/
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