The Spectral Theorem for Bounded Self-Adjoint Operators: Statements

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


In the present chapter, we will consider the spectral theorem for bounded self-adjoint operators, leaving a discussion of unbounded operators to Chaps. 9 and 10. The proofs of the main theorems (two different versions of the spectral theorem) are moderately long and are deferred to Chap. 8.


Hilbert Space Functional Calculus Separable Hilbert Space Spectral Theorem Generalize Eigenvector 
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    A. Gut, Probability: A Graduate Course (Springer, New York, 2005)Google Scholar

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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