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authorJustin Gassner <justin.gassner@mailbox.org>2024-02-15 05:11:07 +0100
committerJustin Gassner <justin.gassner@mailbox.org>2024-02-15 05:11:07 +0100
commit7c66b227a494748e2a546fb85317accd00aebe53 (patch)
tree9c649667d2d024b90b32d36ca327ac4b2e7caeb2 /pages/operator-algebras/c-star-algebras/positive-linear-functionals.md
parent28407333ffceca9b99fae721c30e8ae146a863da (diff)
downloadsite-7c66b227a494748e2a546fb85317accd00aebe53.tar.zst
Update
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diff --git a/pages/operator-algebras/c-star-algebras/positive-linear-functionals.md b/pages/operator-algebras/c-star-algebras/positive-linear-functionals.md
index ea15f87..bdf7b3d 100644
--- a/pages/operator-algebras/c-star-algebras/positive-linear-functionals.md
+++ b/pages/operator-algebras/c-star-algebras/positive-linear-functionals.md
@@ -22,7 +22,9 @@ A norm-one positive linear functional on a $C^*$-algebra is called a *state*.
{% enddefinition %}
{% definition State Space %}
-The *state space* of a $C^*$-algebra $\mathcal{A}$, denoted by $S(\mathcal{A})$, is the set of all states of $\mathcal{A}$.
+The *state space* of a $C^*$-algebra $\mathcal{A}$,
+denoted by $S(\mathcal{A})$,
+is the set of all states of $\mathcal{A}$.
{% enddefinition %}
Note that $S(\mathcal{A})$ is a subset of the unit ball in the dual space of $\mathcal{A}$.