Spectral Theory on the S-Spectrum for Quaternionic Operators
Seiten
2019
|
1st ed. 2018
Springer International Publishing (Verlag)
978-3-030-03073-5 (ISBN)
Springer International Publishing (Verlag)
978-3-030-03073-5 (ISBN)
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-10 | 3-030-03073-3 / 3030030733 |
| ISBN-13 | 978-3-030-03073-5 / 9783030030735 |
| Zustand | Neuware |
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