Some Applications of Simons’ Inequality
Serdica Mathematical Journal, Tome 26 (2000) no. 1, pp. 59-78
Cet article a éte moissonné depuis la source Bulgarian Digital Mathematics Library
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.
Keywords:
Boundaries, Smooth Norms, Norm-attaining Linear Forms
@article{SMJ2_2000_26_1_a5,
author = {Godefroy, Gilles},
title = {Some {Applications} of {Simons{\textquoteright}} {Inequality}},
journal = {Serdica Mathematical Journal},
pages = {59--78},
year = {2000},
volume = {26},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SMJ2_2000_26_1_a5/}
}
Godefroy, Gilles. Some Applications of Simons’ Inequality. Serdica Mathematical Journal, Tome 26 (2000) no. 1, pp. 59-78. http://geodesic.mathdoc.fr/item/SMJ2_2000_26_1_a5/