The Hahn-Banach Property and the Axiom o
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Juliette Dodu; Marianne Morillon
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Article
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1999
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John Wiley and Sons
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English
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## Abstract We work in set theory ZF without axiom of choice. Though the HahnβBanach theorem cannot be proved in ZF, we prove that every Gateauxβdifferentiable uniformly convex Banach space __E__ satisfies the following continuous HahnβBanach property: if __p__ is a continuous sublinear functional