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Bokuan Li
2026-07-08 15:02:23 -04:00
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src/op/notation.tex
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@@ -15,7 +15,8 @@
$\cm(A)$ & Maximal ideal space of $A$. & \autoref{definition:maximal-ideal} \\
$\Gamma = \Gamma_A$ & The Gelfand transform on $A$. & \autoref{definition:gelfand-transform} \\
$A[S]$ & $C^*$-subalgebra of $A$ generated by $S \subset A$. & \autoref{definition:generated-subalgebra} \\
$S(A)$ & State space of a $C^*$-algebra $A$. & \autoref{definition:cstar-state} \\
$P(A)$ & Pure state space of a $C^*$-algebra $A$. & \autoref{definition:pure-state} \\
$M_n(\complex)$ & Algebra of $n \times n$ matrices over $\complex$. & \autoref{definition:matrix-algebra} \\
$B(H)$ & Algebra of bounded operators on a Hilbert space. & \autoref{definition:hilbert-endomorphism} \\
$A(D)$ & The disk algebra. & \autoref{definition:disk-algebra} \\