The Spectral Theorem for Unbounded Self-Adjoint Operators

  • Brian C. Hall
Part of the Graduate Texts in Mathematics book series (GTM, volume 267)


This chapter gives statements and proofs of the spectral theorem for unbounded self-adjoint operators, in the same forms as in the bounded case, in terms of projection-valued measures, in terms of direct integrals, and in terms of multiplication operators.


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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  • Brian C. Hall
    • 1
  1. 1.Department of MathematicsUniversity of Notre DameNotre DameUSA

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