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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@@ -35,3 +35,4 @@
\begin{proof}
$(1) \Rightarrow (2)$: By continuity of $T$, there exists continuous seminorms $\seqf{[\cdot]_j}$ on $\seqf{E_j}$ such that for any $x \in \prod_{j = 1}^n E_j$, $\max_{1 \le j \le n}[x_j]_{E_j} < 1$ implies that $[Tx]_F < 1$. In which case, the inequality follows from linearity.
\end{proof}