A Banach space not containing $l_{1}$ whose dual ball is not weak${}^\ast$ sequentially compact
A Banach space not containing $l_{1}$ whose dual ball is not weak${}^\ast$ sequentially compact
The structure of Banach spaces with nonweak* sequentially compact dual balls was studied in [7], where it was proved that if X is separable and the unit ball of X** is not weak* sequentially compact, then X* contains a subspace isomorphic to 11 (F) for some uncountable set F. Subsequently …