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author | Justin Gassner <justin.gassner@mailbox.org> | 2024-02-15 05:11:07 +0100 |
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committer | Justin Gassner <justin.gassner@mailbox.org> | 2024-02-15 05:11:07 +0100 |
commit | 7c66b227a494748e2a546fb85317accd00aebe53 (patch) | |
tree | 9c649667d2d024b90b32d36ca327ac4b2e7caeb2 /pages/operator-algebras/c-star-algebras/positive-linear-functionals.md | |
parent | 28407333ffceca9b99fae721c30e8ae146a863da (diff) | |
download | site-7c66b227a494748e2a546fb85317accd00aebe53.tar.zst |
Update
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 $\mathcal{A}$. |