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190201 ||| eng |
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|a 9783030030742
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| 100 |
1 |
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|a Colombo, Fabrizio
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| 245 |
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|a Spectral Theory on the S-Spectrum for Quaternionic Operators
|h Elektronische Ressource
|c by Fabrizio Colombo, Jonathan Gantner, David P. Kimsey
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| 250 |
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|a 1st ed. 2018
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| 260 |
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|a Cham
|b Birkhäuser
|c 2018, 2018
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| 300 |
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|a IX, 356 p
|b online resource
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| 505 |
0 |
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|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
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| 653 |
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|a Operator Theory
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| 653 |
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|a Operator theory
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| 653 |
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|a Dynamical systems
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| 653 |
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|a Dynamical Systems
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| 653 |
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|a Functional Analysis
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| 653 |
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|a Functional analysis
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| 700 |
1 |
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|a Gantner, Jonathan
|e [author]
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| 700 |
1 |
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|a Kimsey, David P.
|e [author]
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| 041 |
0 |
7 |
|a eng
|2 ISO 639-2
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| 989 |
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|b Springer
|a Springer eBooks 2005-
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| 490 |
0 |
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|a Operator Theory: Advances and Applications
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| 028 |
5 |
0 |
|a 10.1007/978-3-030-03074-2
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| 856 |
4 |
0 |
|u https://doi.org/10.1007/978-3-030-03074-2?nosfx=y
|x Verlag
|3 Volltext
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| 082 |
0 |
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|a 515.724
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| 520 |
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|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
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