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Carvalho, L., Diogo, C. & Mendes, S. (2023). S-spectrum and numerical range of a quaternionic operator. Journal of Mathematical Analysis and Applications. 519 (2)
L. C. Carvalho et al., "S-spectrum and numerical range of a quaternionic operator", in Journal of Mathematical Analysis and Applications, vol. 519, no. 2, 2023
@article{carvalho2023_1715432682723, author = "Carvalho, L. and Diogo, C. and Mendes, S.", title = "S-spectrum and numerical range of a quaternionic operator", journal = "Journal of Mathematical Analysis and Applications", year = "2023", volume = "519", number = "2", doi = "10.1016/j.jmaa.2022.126834", url = "https://www.sciencedirect.com/science/article/pii/S0022247X22008484?via%3Dihub" }
TY - JOUR TI - S-spectrum and numerical range of a quaternionic operator T2 - Journal of Mathematical Analysis and Applications VL - 519 IS - 2 AU - Carvalho, L. AU - Diogo, C. AU - Mendes, S. PY - 2023 SN - 0022-247X DO - 10.1016/j.jmaa.2022.126834 UR - https://www.sciencedirect.com/science/article/pii/S0022247X22008484?via%3Dihub AB - 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. ER -