Scientific journal paper Q1
S-spectrum and numerical range of a quaternionic operator
Luís Carvalho (Carvalho, L.); Cristina Diogo (Diogo, C.); Sérgio Mendes (Mendes, S.);
Journal Title
Journal of Mathematical Analysis and Applications
Year (definitive publication)
2023
Language
English
Country
United States of America
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Abstract
We study the numerical range of bounded linear operators on quaternionic Hilbert spaces and its relation with the S-spectrum. The class of complex operators on quaternionic Hilbert spaces is introduced and the upper bild of normal complex operators is completely characterized in this setting.
Acknowledgements
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Keywords
Fields of Science and Technology Classification
  • Mathematics - Natural Sciences
Funding Records
Funding Reference Funding Entity
UIDB/00212/2020 Fundação para a Ciência e a Tecnologia
UID/MAT/04459/2020 Fundação para a Ciência e a Tecnologia
Publication Identifiers
ci-pub-91449
2-s2.0-85141973459
WOS:000919601200029
10.1016/j.jmaa.2022.126834
2-s2.0-85141973459
http://hdl.handle.net/10071/28118
Other Publication Details
2022
Elsevier
Web of Science©; Scopus;
0022-247X (print)
1096-0813 (online)
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519 2
126834
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Yes
Link to the repository
2022-11-15
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