Replaced mentions of normed spaces to normed vector spaces.
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This commit is contained in:
Bokuan Li
2026-03-17 15:18:31 -04:00
parent 37a5ce14bf
commit 16e6beb117
12 changed files with 24 additions and 24 deletions

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@@ -3,7 +3,7 @@
\begin{proposition}
\label{proposition:bilinear-separate}
Let $E, F, G$ be normed spaces and $T: E \times F \to G$ be a bilinear map. If:
Let $E, F, G$ be normed vector spaces and $T: E \times F \to G$ be a bilinear map. If:
\begin{enumerate}
\item For each $x \in E$, $y \mapsto T(x, y)$ is a continuous linear map from $F$ to $G$.
\item For each $y \in F$, $x \mapsto T(x, y)$ is a continuous linear map from $E$ to $G$.