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Lookup NU author(s): Dr David Kimsey
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© Springer Nature Switzerland AG 2018. 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.
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: 53-74
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_3
DOI: 10.1007/978-3-030-03074-2_3
Library holdings: Search Newcastle University Library for this item
ISBN: 9783030030735