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Spectral Theory on the S-Spectrum for Quaternionic Operators

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Spectral Theory on the S-Spectrum for Quaternionic Operators/ by Fabrizio Colombo, Jonathan Gantner, David P. Kimsey.
Author:	Colombo, Fabrizio.
other author:	Gantner, Jonathan.
Description:	IX, 356 p.online resource. :
Contained By:	Springer Nature eBook
Subject:	Operator theory. -
Online resource:	https://doi.org/10.1007/978-3-030-03074-2
ISBN:	9783030030742

Spectral Theory on the S-Spectrum for Quaternionic Operators
Colombo, Fabrizio.

Spectral Theory on the S-Spectrum for Quaternionic Operators[electronic resource] /by Fabrizio Colombo, Jonathan Gantner, David P. Kimsey. - 1st ed. 2018. - IX, 356 p.online resource. - Operator Theory: Advances and Applications,2700255-0156 ;. - Operator Theory: Advances and Applications,246.

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 Operators.

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 monograph.

ISBN: 9783030030742

Standard No.: 10.1007/978-3-030-03074-2doiSubjects--Topical Terms:

527910
Operator theory.

LC Class. No.: QA329-329.9

Dewey Class. No.: 515.724

Spectral Theory on the S-Spectrum for Quaternionic Operators
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