Fixed typo in dual systems.
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Bokuan Li
2026-05-03 22:57:48 -04:00
parent ca5e81fdbc
commit b2af2d8afb

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@@ -9,7 +9,7 @@
\item For any $y_0 \in E$, if $\lambda(x, y_0) = 0$ for all $x \in E$, then $y_0 = 0$.
\end{enumerate}
The mapping $\lamdba: E \times F \to K$ is the \textbf{canonical bilinear form} of the duality, denoted $(x, y) \mapsto \dpn{x, y}{\lambda}$, and the duality $(E, F, \lambda)$ is denoted $\dpn{E, F}{\lambda}$.
The mapping $\lambda: E \times F \to K$ is the \textbf{canonical bilinear form} of the duality, denoted $(x, y) \mapsto \dpn{x, y}{\lambda}$, and the duality $(E, F, \lambda)$ is denoted $\dpn{E, F}{\lambda}$.
In the context of a dual system, $E$ and $F$ are identified as subspaces of each others' algebraic duals.
\end{definition}