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The S-spectrum and the S-functional calculus

Lookup NU author(s): Dr David KimseyORCiD

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Abstract

© 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.

Publication metadata

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

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