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The Spectral Theorem for Bounded Self-Adjoint Operators: Statements

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

Abstract

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.

Keywords

Hilbert Space Functional Calculus Separable Hilbert Space Spectral Theorem Generalize Eigenvector 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. [18].
    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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