Spectral Theory on the S-Spectrum for Quaternionic Operators. 1st ed. 2018

種類:

電子ブック

責任表示:

by Fabrizio Colombo, Jonathan Gantner, David P. Kimsey

出版情報:

Cham : Springer International Publishing : Imprint: Birkhäuser, 2018

著者名:

• Colombo, Fabrizio.
• Gantner, Jonathan.
• Kimsey, David P.
• SpringerLink (Online service)

シリーズ名:

Operator Theory: Advances and Applications ; 270

ISBN:

9783030030742 [3030030741]    

注記:

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.
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.

ローカル注記:

岐阜大学構成員専用E-BOOKS (Gifu University members only)