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Does anyone know of a good reference for the spectral theorem (projection valued measure version) for possibly unbounded normal operators? I would also be interested in examples where this sort of theorem still holds for non-normal operators. Thanks!

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  • $\begingroup$ For spectral theorems for unbounded normal operators you can use Rudin's FA. $\endgroup$ – Kavi Rama Murthy Jan 7 at 8:15
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There is a lot of detail in Section 5.6 of Kadison-Ringrose (Fundamentals of the Theory of Operator Algebras).

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  • $\begingroup$ Thanks, that's perfect! $\endgroup$ – Mathmo Jan 28 at 12:41

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