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The Resource Spectral theory on the S-Spectrum for quaternionic operators, Fabrizio Colombo, Jonathan Gantner, David P. Kimsey

Spectral theory on the S-Spectrum for quaternionic operators, Fabrizio Colombo, Jonathan Gantner, David P. Kimsey

Label
Spectral theory on the S-Spectrum for quaternionic operators
Title
Spectral theory on the S-Spectrum for quaternionic operators
Statement of responsibility
Fabrizio Colombo, Jonathan Gantner, David P. Kimsey
Creator
Contributor
Author
Subject
Language
eng
Summary
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
Member of
Cataloging source
GW5XE
http://library.link/vocab/creatorName
Colombo, Fabrizio
Dewey number
515/.7222
Index
index present
LC call number
QA320
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorName
  • Gantner, Jonathan
  • Kimsey, David P.
Series statement
Operator theory, advances and applications,
Series volume
volume 270
http://library.link/vocab/subjectName
  • Spectral theory (Mathematics)
  • Operator theory
  • Operator Theory.
  • Dynamical Systems and Ergodic Theory.
  • Functional Analysis.
Label
Spectral theory on the S-Spectrum for quaternionic operators, Fabrizio Colombo, Jonathan Gantner, David P. Kimsey
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
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
Dimensions
unknown
Extent
1 online resource (ix, 356 pages).
File format
unknown
Form of item
online
Isbn
9783030030742
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-030-03074-2
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • on1082355799
  • (OCoLC)1082355799
Label
Spectral theory on the S-Spectrum for quaternionic operators, Fabrizio Colombo, Jonathan Gantner, David P. Kimsey
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
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
Dimensions
unknown
Extent
1 online resource (ix, 356 pages).
File format
unknown
Form of item
online
Isbn
9783030030742
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-030-03074-2
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • on1082355799
  • (OCoLC)1082355799

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