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>> No.10565978 [View]
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10565978

Consider some real inner product space [math]\mathcal{V}[/math]. Given a set [math]S \subseteq \mathcal{V}[/math], its dual set is defined as [math]\{ x \in \mathcal{V}^* : \langle s, x \rangle \geq 0 \; \forall s \in S \}[/math], while the set [math]\{ x \in \mathcal{V}^* : \langle s, x \rangle \leq 1 \; \forall s \in S \}[/math] is often called the polar set.

Is there a name for the set [math]\{ x \in \mathcal{V}^* : \langle s, x \rangle = 1 \; \forall s \in S \}[/math]?

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