# Some Applications of Simons’ Inequality

Serdica Mathematical Journal (2000)

- Volume: 26, Issue: 1, page 59-78
- ISSN: 1310-6600

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topGodefroy, Gilles. "Some Applications of Simons’ Inequality." Serdica Mathematical Journal 26.1 (2000): 59-78. <http://eudml.org/doc/11480>.

@article{Godefroy2000,

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.},

author = {Godefroy, Gilles},

journal = {Serdica Mathematical Journal},

keywords = {Boundaries; Smooth Norms; Norm-attaining Linear Forms; boundaries; smooth norms; norm-attaining linear forms; Simons' inequality; Lebesgue's dominated convergence theorem; Rainwater's theorem; James' characterization of reflexivity; strongly sub-differentiable norm; Asplund space; continuum hypothesis; ZFC},

language = {eng},

number = {1},

pages = {59-78},

publisher = {Institute of Mathematics and Informatics},

title = {Some Applications of Simons’ Inequality},

url = {http://eudml.org/doc/11480},

volume = {26},

year = {2000},

}

TY - JOUR

AU - Godefroy, Gilles

TI - Some Applications of Simons’ Inequality

JO - Serdica Mathematical Journal

PY - 2000

PB - Institute of Mathematics and Informatics

VL - 26

IS - 1

SP - 59

EP - 78

AB - 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.

LA - eng

KW - Boundaries; Smooth Norms; Norm-attaining Linear Forms; boundaries; smooth norms; norm-attaining linear forms; Simons' inequality; Lebesgue's dominated convergence theorem; Rainwater's theorem; James' characterization of reflexivity; strongly sub-differentiable norm; Asplund space; continuum hypothesis; ZFC

UR - http://eudml.org/doc/11480

ER -

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