Me when I forget to commit.

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Bokuan Li
2026-01-17 23:11:19 -05:00
parent af924f6225
commit 307f23ad57
23 changed files with 751 additions and 182 deletions

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@@ -82,6 +82,6 @@
Since $\real$ is complete, so is $BC(X; \real)$ by \ref{proposition:set-uniform-complete}. Using successive approximations (\ref{theorem:successive-approximation}), for every $f \in BC(A; \real)$, there exists $F \in BC(X; \real)$ such that $RF = F|_A = f$ and
\[
\norm{F}_u \le \frac{1}{3} \cdot \frac{1}{1 - 2/3} \cdot \norm{f}_u = 1
\norm{F}_u \le \frac{1}{3} \cdot \frac{1}{1 - 2/3} \cdot \norm{f}_u = \norm{f}_u
\]
\end{proof}