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Lookup NU author(s): Dr David Kimsey
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© Springer Nature Switzerland AG 2018. In this chapter, we define spectral integrals in the quaternionic setting. The aim is to de_ne them for a suitably large class of functions that allows us to prove the spectral theorem for unbounded operators in Section 12. To this end, we adapt part of Chapter 4 of the book [191] to the quaternionic setting. Most of the proofs of the properties of spectral integrals are easily adapted from the classical case presented in [191], i.e., when H is a complex Hilbert space. However, some facts require additional arguments, which we will highlight.
Author(s): Colombo F, Gantner J, Kimsey DP
Publication type: Book Chapter
Publication status: Published
Book Title: Operator Theory: Advances and Applications
Year: 2018
Volume: 270
Pages: 219-231
Online publication date: 05/01/2019
Acceptance date: 02/04/2018
Publisher: Birkhaeuser Verlag AG
URL: https://doi.org/10.1007/978-3-030-03074-2_10
DOI: 10.1007/978-3-030-03074-2_10
Library holdings: Search Newcastle University Library for this item
ISBN: 9783030030735