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/Part 3: Functional Analysis/Chapter 16: Duality/Section 16.2: Polars

Definition 16.2.1 (Real Polar).label Let $\dpn{E, F}{\lambda}$ be a duality over $K \in \RC$ and $A \subset E$, then

\[A^{\circ} = \bracsn{y \in F| \text{Re}\dpn{x, y}{\lambda} \le 1 \forall x \in A}\]

is the real polar of $A$.

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Jerry's Digital Garden

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