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The S-functional calculus for unbounded operators

Lookup NU author(s): Dr David KimseyORCiD

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Abstract

© Springer Nature Switzerland AG 2018. The S-functional calculus can also be defined for unbounded operators. We consider a two-sided quaternionic Banach space X and we introduce a notation for the set of unbounded operators that we consider in this chapter. These results are taken from the papers [67,97], where we reduce the case of unbounded operators, with suitable transformations, to the case of bounded operators. The direct approach has been studied in the more recent paper [124], while the S-resolvent equation is in [50].

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: 125-136

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_5

DOI: 10.1007/978-3-030-03074-2_5

Library holdings: Search Newcastle University Library for this item

ISBN: 9783030030735

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