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Spectral Theorem for Unitary Operators

  • Fabrizio Colombo
  • Jonathan Gantner
  • David P. Kimsey
Chapter
Part of the Operator Theory: Advances and Applications book series (OT, volume 270)

Abstract

The spectral theorem for unitary operators is a particular case of the spectral theorem for bounded normal operators proved in Chapter 11. However, as in the complex case, the spectral theorem for unitary operators can be deduced from the quaternionic version of Herglotz’s theorem proved in [16]. The spectral theorem for unitary operators based on Herglotz’s theorem was proved in [14].

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Copyright information

© Springer Nature Switzerland AG 2018

Authors and Affiliations

  • Fabrizio Colombo
    • 1
  • Jonathan Gantner
    • 1
  • David P. Kimsey
    • 2
  1. 1.Dipartimento di MatematicaPolitecnico di MilanoMilanoItaly
  2. 2.School of Mathematics, Statistics & PhysicsNewcastle UniversityNewcastle upon TyneUK

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