Talk
The star-center of the quaternionic numerical range
Sérgio Mendes (Mendes, S.); Luís Carvalho (Carvalho, L.); Cristina Diogo (Diogo, C.);
Event Title
New Trends in Quaternions and Octonions
Year (definitive publication)
2020
Language
English
Country
Portugal
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Abstract
We prove that the quaternionic numerical range is always star-shaped and its star-center is given by the equivalence classes of the star-center of the bild. We determine the star-center of the bild, and consequently of the numerical range, by showing that the geometrical shape of the upper part of the center is defined by two lines, tangents to the lower bild.
Acknowledgements
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Keywords
Quaternions,Numerical range,Star-center
Publication Identifiers
ci-pub-78271
Other Publication Details
Yes
Digital
Guarda
Workshop
International
Invited Talk