Dual cone and polar cone: Difference between revisions

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:<math>C^* = \left \{y\in X^*: \langle y , x \rangle \geq 0 \quad \forall x\in C \right \},</math>
 
where <''y'', ''x''> is the duality pairing between ''X'' and ''X*'', i.e. <''y'', ''x''> = ''y''(''x'').
 
''C*'' is always a [[convex cone]], even if ''C'' is neither [[convex set|convex]] nor a [[linear cone|cone]].