The unit ball of the Hilbert space in its weak topology
A Avilés - Proceedings of the American Mathematical Society, 2007 - ams.org
Proceedings of the American Mathematical Society, 2007•ams.org
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. References
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. References
Abstract
We show that the unit ball of in its weak topology is a continuous image of , and we deduce some combinatorial properties of its lattice of open sets which are not shared by the balls of other equivalent norms when is uncountable. References
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