Added the Bochner integral.

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Bokuan Li
2026-03-17 15:16:13 -04:00
parent ae69a73fba
commit 37a5ce14bf
18 changed files with 379 additions and 99 deletions

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@@ -71,7 +71,7 @@
\begin{proposition}
\label{proposition:measurable-simple-separable}
Let $(X, \cm)$ be a measurable space, $Y$ be a separable metric space, and $N: Y \to 2^Y$\footnote{This mapping is typically obtained as slices of the level sets of a continuous function $Y \times Y \to \real$.} such that
Let $(X, \cm)$ be a measurable space, $Y$ be a separable metric space, and $N: Y \to 2^Y$ such that
\begin{enumerate}
\item[(a)] For each $y \in Y$, $y \in \ol{N(y)^o}$.
\item[(b)] $\bigcap_{y \in Y}N(y) \ne \emptyset$.