|
" Spectral theory on the S-Spectrum for quaternionic operators / "
Fabrizio Colombo, Jonathan Gantner, David P. Kimsey.
| Document Type
|
:
|
BL
|
| Record Number
|
:
|
859957
|
| Main Entry
|
:
|
Colombo, Fabrizio
|
| Title & Author
|
:
|
Spectral theory on the S-Spectrum for quaternionic operators /\ Fabrizio Colombo, Jonathan Gantner, David P. Kimsey.
|
| Publication Statement
|
:
|
Cham, Switzerland :: Birkhäuser,, 2018.
|
| Series Statement
|
:
|
Operator theory, advances and applications,; volume 270
|
| Page. NO
|
:
|
1 online resource (ix, 356 pages)
|
| ISBN
|
:
|
3030030741
|
|
|
:
|
: 9783030030742
|
|
|
:
|
3030030733
|
|
|
:
|
9783030030735
|
| Bibliographies/Indexes
|
:
|
Includes bibliographical references and index.
|
| Contents
|
:
|
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.
|
| Abstract
|
:
|
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.
|
| Subject
|
:
|
Operator theory.
|
| Subject
|
:
|
Spectral theory (Mathematics)
|
| Subject
|
:
|
Operator theory.
|
| Subject
|
:
|
Spectral theory (Mathematics)
|
| Dewey Classification
|
:
|
515/.7222
|
| LC Classification
|
:
|
QA320
|
| Added Entry
|
:
|
Gantner, Jonathan
|
|
|
:
|
Kimsey, David P.
|
| |