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Spectral Theory on the S-Spectrum for Quaternionic Operators / by Fabrizio Colombo, Jonathan Gantner, David P. Kimsey

By: Contributor(s): Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: Operator Theory: Advances and Applications ; 270 | Springer eBook Collection | SpringerLink BücherPublisher: Cham : Springer International Publishing, 2018Description: Online-Ressource (IX, 356 p, online resource)ISBN:
  • 9783030030742
Subject(s): Additional physical formats: 9783030030735 | 9783030030759 | Erscheint auch als: Spectral theory on the s-spectrum for quaternionic operators. Druck-Ausgabe Cham : Birkhäuser, 2018. ix, 356 Seiten | Erscheint auch als: 9783030030735 Druck-Ausgabe | Printed edition: 9783030030735 | Printed edition: 9783030030759 DDC classification:
  • 515.724
MSC: MSC: *47-02 | 47A10 | 47B99RVK: RVK: SK 620LOC classification:
  • QA329-329.9
DOI: DOI: 10.1007/978-3-030-03074-2Online resources: Summary: The subject of this monograph is the quaternionic spectral theory based on the notion of S-spectrum. With the purpose of giving a systematic and self-contained treatment of this theory that has been developed in the last decade, the book features topics like the S-functional calculus, the F-functional calculus, the quaternionic spectral theorem, spectral integration and spectral operators in the quaternionic setting. These topics are based on the notion of S-spectrum of a quaternionic linear operator. Further developments of this theory lead to applications in fractional diffusion and evolution problems that will be covered in a separate monographSummary: Introduction -- Slice hyperholomorphic functions -- The S-spectrum and the S-functional calculus -- Properties of the S-functional calculus for bounded operators -- The S-functional calculus for unbounded operators -- The H1 functional calculus -- The F-functional calculus for bounded operators -- The F-functional calculus for unbounded operators -- Quaternionic operators on a Hilbert space -- Spectral integrals -- The spectral theorem for bounded normal operators -- The spectral theorem for unbounded normal operators -- Spectral theorem for unitary operators -- Spectral Integration in the Quaternionic Setting -- Bounded Quaternionic Spectral OperatorsPPN: PPN: 1048366332Package identifier: Produktsigel: ZDB-2-SEB | ZDB-2-SMA | ZDB-2-SXMS
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