The unit ball of the Hilbert space in its weak topology
Antonio Avilés · Proceedings of the American Mathematical Society · 2006
We show that the unit ball of $\ell _p(\Gamma )$ in its weak topology is a continuous image of $\sigma _1(\Gamma )^\mathbb {N}$, and we deduce some combinatorial properties of its lattice of open sets which are not shared by the balls of other equivalent norms when $\Gamma$ is uncountable.