Can anyone provide a reference to a nice proof of the projection valued measure form of the spectral theorem for unbounded operators? Many textbooks simply omit the proof.
2026-03-28 10:16:34.1774692994
Projection Valued Measure Form of the Spectral Theorem (Unbounded)
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One reference for the construction of the spectral measure of a finite family of strongly commuting, unbounded, normal operators is the book 'Unbounded Self-adjoint Operators on Hilbert Space' by Schmüdgen.
Schmüdgen, Konrad, Unbounded self-adjoint operators on Hilbert space, Graduate Texts in Mathematics 265. Dordrecht: Springer (ISBN 978-94-007-4752-4/hbk; 978-94-007-4753-1/ebook). xx, 432 p. (2012). ZBL1257.47001.