A geometric proof of the spectral theorem for unbounded self-adjoint operators

DOI10.1007/BF01420484zbMath0388.47011OpenAlexW2055265175MaRDI QIDQ1250607

Herbert Leinfelder

Publication date: 1979

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163273

zbMATH Keywords

SPECTRAL THEOREMUNBOUNDED SELF-ADJOINT OPERATORS

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Linear symmetric and selfadjoint operators (unbounded) (47B25)

Related Items (3)

On a singular Sylvester equation with unbounded self-adjoint \(A\) and \(B\) ⋮ Spectral density for the Schrödinger operator with magnetic field in the unit complex ball: solutions of evolutionary equations and applications to special functions ⋮ Spectral order for unbounded operators

Cites Work

• Analytic vectors
• Classes of \(C^ \infty\) vectors and essential self-adjointness
• Elementary proof of the spectral theorem
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