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  7. Some Applications of Simons’ Inequality

Some Applications of Simons’ Inequality

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Authors: Godefroy, Gilles
Issue Date: 2000
Citation: Serdica Mathematical Journal, Vol. 26, No 1, (2000), 59p-78p Copy to clipboard
ISSN: 1310-6600
URI: http://hdl.handle.net/10525/407 Copy to clipboard
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.
Language: en
Publisher: Institute of Mathematics and Informatics, Bulgarian Academy of SciencesSubject: BoundariesSmooth NormsNorm-attaining Linear Forms
Type: Article