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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Colombo, F., Gantner, J., Kimsey, D.P. (2018). Spectral Theorem for Unitary Operators. In: Spectral Theory on the S-Spectrum for Quaternionic Operators. Operator Theory: Advances and Applications, vol 270. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-03074-2_13
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DOI: https://doi.org/10.1007/978-3-030-03074-2_13
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Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-030-03073-5
Online ISBN: 978-3-030-03074-2
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