Spectral Theory on the S-Spectrum for Quaternionic Operators / / by Fabrizio Colombo, Jonathan Gantner, David P. Kimsey
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| Autore: |
Colombo Fabrizio
|
| Titolo: |
Spectral Theory on the S-Spectrum for Quaternionic Operators / / by Fabrizio Colombo, Jonathan Gantner, David P. Kimsey
|
| Pubblicazione: | Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2018 |
| Edizione: | 1st ed. 2018. |
| Descrizione fisica: | 1 online resource (IX, 356 p.) |
| Disciplina: | 515.724 |
| Soggetto topico: | Operator theory |
| Dynamical systems | |
| Functional analysis | |
| Operator Theory | |
| Dynamical Systems | |
| Functional Analysis | |
| Persona (resp. second.): | GantnerJonathan |
| KimseyDavid P. | |
| Nota di contenuto: | 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. |
| Sommario/riassunto: | 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. |
| Titolo autorizzato: | Spectral Theory on the S-Spectrum for Quaternionic Operators |
| ISBN: | 3-030-03074-1 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910309663703321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Operator Theory: Advances and Applications, . 2296-4878 ; ; 270