Added the injective tensor product.
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This commit is contained in:
Bokuan Li
2026-08-07 15:50:54 -04:00
parent 39086537c3
commit 8faaa8dab4
5 changed files with 104 additions and 2 deletions

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@@ -132,7 +132,7 @@
\begin{theorem}[{{\cite[III.6.5]{SchaeferWolff}}}]
\label{theorem:l1-tensor}
Let $(X, \cm, \mu)$ be a measure space and $E$ be a Banach space over $K \in \RC$, then the map $L^1(X; K) \td{\otimes}_\mu E \to L^1(X; E)$ defined by extending
Let $(X, \cm, \mu)$ be a measure space and $E$ be a Banach space over $K \in \RC$, then the map $L^1(X; K) \td{\otimes}_\pi E \to L^1(X; E)$ defined by extending
\[
L^1(X; K) \times E \to L^1(X; E) \quad f \otimes x \mapsto x \cdot f
\]