diff --git a/src/fa/duality/definitions.tex b/src/fa/duality/definitions.tex index 865011f..936598b 100644 --- a/src/fa/duality/definitions.tex +++ b/src/fa/duality/definitions.tex @@ -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}