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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Hlavní autor: Colombo, Fabrizio (Autor)
Médium: Elektronický zdroj E-kniha
Jazyk:angličtina
Vydáno: Cham : Springer International Publishing, 2018.
Vydání:1st ed. 2018.
Edice:Operator Theory: Advances and Applications, 270
Témata:
Operator theory.
Dynamics.
Ergodic theory.
Functional analysis.
ISBN:9783030030742
ISSN:0255-0156 ;
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Obsah:
  • 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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