Spectral Theory on the S-Spectrum for Quaternionic Operators

Fabrizio Colombo, Jonathan Gantner, David P. Kimsey (Autoren)

Buch | Hardcover

IX, 356 Seiten

2019
Springer International Publishing (Verlag)
9783030030735 (ISBN)

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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.

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.

Erscheinungsdatum	20.01.2019
Reihe/Serie	Operator Theory: Advances and Applications
Zusatzinfo	IX, 356 p.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	709 g
Themenwelt	Mathematik / Informatik ► Informatik ► Theorie / Studium
	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
Schlagworte	F-functional calculus • quaternionic spectral theorem • S-functional calculus • Slice hyperholomorphic functions • spectral integration • spectral operators • S-spectrum
ISBN-13	9783030030735 / 9783030030735
Zustand	Neuware