Boundaries Smooth Norms Norm-attaining Linear Forms
Institute of Mathematics and Informatics
Serdica Mathematical Journal, Vol. 26, No 1, (2000), 59p-78p
We survey several applications of Simons’ inequality and state
related open problems. We show that if a Banach space X has a strongly
sub-differentiable norm, then every bounded weakly closed subset of X is an
intersection of finite union of balls.