Abstract
The fundamental difficulty in developing a mathematically rigorous theory of quaternionic linear operators was the identification of suitable notions of quaternionic spectrum and quaternionic resolvent operator. In this chapter we study the properties of the S-spectrum and the S-resolvent operators, and we introduce the quaternionic S-functional calculus.
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Colombo, F., Gantner, J., Kimsey, D.P. (2018). The S-Spectrum and the S-Functional Calculus. 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_3
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DOI: https://doi.org/10.1007/978-3-030-03074-2_3
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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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