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The Spectral Theorem

  • David Borthwick
Chapter
  • 299 Downloads
Part of the Graduate Texts in Mathematics book series (GTM, volume 284)

Abstract

This chapter introduces the notion of the spectrum of an operator (possibly unbounded) on a Hilbert space. The theory of the resolvent operator is developed and used to establish basic properties of the spectrum.

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Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  • David Borthwick
    • 1
  1. 1.Department of MathematicsEmory UniversityAtlantaUSA

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