Spectral theory on the S-Spectrum for quaternionic operators

• 作者： Colombo, Fabrizio, author.
• 其他作者：
  • Gantner, Jonathan, author.
  • Kimsey, David P., author.
  • SpringerLink (Online service)
• 其他題名：
  • Operator theory: advances and applications ;
• 出版： Cham : Springer International Publishing :Imprint: Birkhauser
• 叢書名： Operator theory: advances and applications,volume 270
• 主題： Spectral theory (Mathematics) , Operator theory. , Operator Theory. , Dynamical Systems and Ergodic Theory. , Functional Analysis.
• ISBN： 9783030030742 (electronic bk.) 、 9783030030735 (paper)
• FIND@SFXID: CGU
• 資料類型: 電子書
• 內容註: 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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• 摘要註: 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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