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Added the continuous functional calculus.

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Bokuan Li
2026-07-03 15:21:33 -04:00
parent 683b822e7e
commit 35e9550ff2
7 changed files with 144 additions and 16 deletions
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src/op/notation.tex
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@@ -14,6 +14,7 @@
$\Omega(A)$ & Space of multiplicative functionals on $A$. & \autoref{definition:multiplicative-functional} \\
$\cm(A)$ & 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} \\
$M_n(\complex)$ & 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} \\