From 7c66b227a494748e2a546fb85317accd00aebe53 Mon Sep 17 00:00:00 2001 From: Justin Gassner Date: Thu, 15 Feb 2024 05:11:07 +0100 Subject: Update --- .../operator-algebras/c-star-algebras/positive-linear-functionals.md | 4 +++- 1 file changed, 3 insertions(+), 1 deletion(-) (limited to 'pages/operator-algebras/c-star-algebras/positive-linear-functionals.md') 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 $\mathcal{A}$. -- cgit v1.2.3-54-g00ecf