Spectral Theory on the S-Spectrum for Quaternionic 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-function...
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| Format: | Elektronisch E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cham :
Springer International Publishing,
2018.
|
| Ausgabe: | 1st ed. 2018. |
| Schriftenreihe: | Operator Theory: Advances and Applications,
270 |
| Schlagworte: | |
| ISBN: | 9783030030742 |
| ISSN: | 0255-0156 ; |
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| 020 | |a 9783030030742 | ||
| 024 | 7 | |a 10.1007/978-3-030-03074-2 |2 doi | |
| 035 | |a CVTIDW14226 | ||
| 040 | |a Springer-Nature |b eng |c CVTISR |e AACR2 | ||
| 041 | |a eng | ||
| 100 | 1 | |a Colombo, Fabrizio. |4 aut | |
| 245 | 1 | 0 | |a Spectral Theory on the S-Spectrum for Quaternionic Operators |h [electronic resource] / |c by Fabrizio Colombo, Jonathan Gantner, David P. Kimsey. |
| 250 | |a 1st ed. 2018. | ||
| 260 | 1 | |a Cham : |b Springer International Publishing, |c 2018. | |
| 300 | |a IX, 356 p. |b online resource. | ||
| 490 | 1 | |a Operator Theory: Advances and Applications, |x 0255-0156 ; |v 270 | |
| 500 | |a Mathematics and Statistics | ||
| 505 | 0 | |a 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. | |
| 516 | |a text file PDF | ||
| 520 | |a 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. | ||
| 650 | 0 | |a Operator theory. | |
| 650 | 0 | |a Dynamics. | |
| 650 | 0 | |a Ergodic theory. | |
| 650 | 0 | |a Functional analysis. | |
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| 910 | |b ZE11506 | ||
| 919 | |a 978-3-030-03074-2 | ||
| 974 | |a andrea.lebedova |f Elektronické zdroje | ||
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