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Title: Some Applications of Simons’ Inequality
Authors: Godefroy, Gilles
Keywords: Boundaries
Smooth Norms
Norm-attaining Linear Forms
Issue Date: 2000
Publisher: Institute of Mathematics and Informatics
Citation: Serdica Mathematical Journal, Vol. 26, No 1, (2000), 59p-78p
Abstract: 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.
ISSN: 1310-6600
Appears in Collections:Volume 26 Number 1

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