Convex analysis | Functional analysis | Theorems in analysis

Bipolar theorem

In mathematics, the bipolar theorem is a theorem in functional analysis that characterizes the bipolar (that is, the polar of the polar) of a set. In convex analysis, the bipolar theorem refers to a necessary and sufficient conditions for a cone to be equal to its bipolar. The bipolar theorem can be seen as a special case of the Fenchel–Moreau theorem. (Wikipedia).

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Characteristic function (convex analysis) | Fenchel–Moreau theorem | Weak topology | Balanced set | Convex analysis | Functional analysis | Mathematics | Closure (mathematics) | Convex hull | Convex cone | Support function | Theorem | Polar set | Convex conjugate | Convex set | Topological vector space