From 0cecf7a27ab2a4ab655cd8af25d5c365b3fbda9d Mon Sep 17 00:00:00 2001
From: Bokuan Li <bokuan.li@mail.mcgill.ca>
Date: Fri, 14 Aug 2026 20:54:09 -0400
Subject: [PATCH] Fixed small typos.

---
 src/op/vn/fc.tex | 4 ++--
 1 file changed, 2 insertions(+), 2 deletions(-)

diff --git a/src/op/vn/fc.tex b/src/op/vn/fc.tex
index 224bfc2..c5b5e7f 100644
--- a/src/op/vn/fc.tex
+++ b/src/op/vn/fc.tex
@@ -152,14 +152,14 @@
 
 \begin{definition}[Borel Functional Calculus]
 \label{definition:borel-functional-calculus}
-    Let $H$ be a complex Hilbert space, $T \in B(H)$ be normal, and $A \subset B(H)$ be the smallest von Neumann algebra acting on $H$ containing $T$ and $I$, then there exists a unique continuous unital *-homomorphism
+    Let $H$ be a complex Hilbert space, $T \in B(H)$ be normal, and $A \subset B(H)$ be the smallest von Neumann algebra acting on $H$ containing $T$ and $I$, then there exists a unique unital *-homomorphism
     \[
     C(\sigma_{B(H)}(T); \complex)^{**} \to A \quad \phi \mapsto \phi(T)
     \]
 
     such that:
     \begin{enumerate}
-        \item $\one(T) = I$, $\text{Id}(T) = T$, $\ol{Id}(T) = T^*$. 
+        \item $\one(T) = I$, $\text{Id}(T) = T$, $\ol{\text{Id}}(T) = T^*$. 
         \item The mapping $\phi \mapsto \phi(T)$ is continuous from the weak* topology on $C(\sigma_{B(H)}(T); \complex)^{**}$ to the weak operator topology on $A$. 
     \end{enumerate}