Dual cone and polar cone: Difference between revisions

Revision as of 23:02, 21 December 2023

Latest revision as of 01:29, 13 August 2025

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where <math>\langle y, x \rangle</math> is the [[dual system|duality pairing]] between ''X'' and ''X{{sup|*}}'', i.e. <math>\langle y, x\rangle = y(x)</math>.

''The set <math>C{{sup|^*}}''</math> is always a [[convex cone]], even if ''<math>C''</math> is neither [[convex set|convex]] nor a [[linear cone|cone]].

=== In a topological vector space ===