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Publication Detailed Description
Journal Title
Linear and Multilinear Algebra
Year (definitive publication)
N/A
Language
English
Country
United Kingdom
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Abstract
We study the essential numerical range of complex operators on a quaternionic Hilbert space and its relation with the essential S-spectrum. We give a new characterization of the essential numerical range relating it to the complex essential numerical range. Moreover, we show that the quaternionic essential numerical range of a normal operator is the convex hull of the essential S-spectrum.
Acknowledgements
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Keywords
Quaternions,Essential numerical range,Essential S-spectrum
Fields of Science and Technology Classification
- Mathematics - Natural Sciences
Funding Records
| Funding Reference | Funding Entity |
|---|---|
| UIDB/04459/2020 | Fundação para a Ciência e a Tecnologia |
| UIDP/04459/2020 | Fundação para a Ciência e a Tecnologia |
| UIDB/00212/2020 | Fundação para a Ciência e a Tecnologia |
| UIDB/04674/2020 | Fundação para a Ciência e a Tecnologia |
