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Hahn–Banach theorem
Theorem on extension of bounded linear functionals
Hahn–Banach theorem
In functional analysis, the Hahn–Banach theorem is a central result that allows the extension of bounded linear functionals defined on a vector subspace of some normed vector space to the whole space. In a different guise the theorem is known as the Hahn–Banach separation theorem or the hyperplane separation theorem and has numerous uses in convex geometry.
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