Overview
- Presents original research previously unpublished
- Closes a gap in research
- Develops quaternionic spectral theory
Part of the book series: Operator Theory: Advances and Applications (OT, volume 270)
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About this book
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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Table of contents (15 chapters)
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Front Matter
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Back Matter
Authors and Affiliations
Bibliographic Information
Book Title: Spectral Theory on the S-Spectrum for Quaternionic Operators
Authors: Fabrizio Colombo, Jonathan Gantner, David P. Kimsey
Series Title: Operator Theory: Advances and Applications
DOI: https://doi.org/10.1007/978-3-030-03074-2
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2018
Hardcover ISBN: 978-3-030-03073-5Published: 18 January 2019
eBook ISBN: 978-3-030-03074-2Published: 04 January 2019
Series ISSN: 0255-0156
Series E-ISSN: 2296-4878
Edition Number: 1
Number of Pages: IX, 356
Topics: Operator Theory, Dynamical Systems and Ergodic Theory, Functional Analysis