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Diffstat (limited to 'pages/operator-algebras/c-star-algebras/positive-linear-functionals.md')
| -rw-r--r-- | pages/operator-algebras/c-star-algebras/positive-linear-functionals.md | 4 |
1 files changed, 3 insertions, 1 deletions
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 $\mathcal{A}$. |