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Carvalho, L., Diogo, C., Mendes, S. & Soares, H. (2025). Quaternionic essential numerical range of complex operators. Linear and Multilinear Algebra. 73 (7), 1332-1345
L. C. Carvalho et al., "Quaternionic essential numerical range of complex operators", in Linear and Multilinear Algebra, vol. 73, no. 7, pp. 1332-1345, 2025
@article{carvalho2025_1765059626801,
author = "Carvalho, L. and Diogo, C. and Mendes, S. and Soares, H.",
title = "Quaternionic essential numerical range of complex operators",
journal = "Linear and Multilinear Algebra",
year = "2025",
volume = "73",
number = "7",
doi = "10.1080/03081087.2024.2413653",
pages = "1332-1345",
url = "https://www.tandfonline.com/journals/glma20"
}
TY - JOUR TI - Quaternionic essential numerical range of complex operators T2 - Linear and Multilinear Algebra VL - 73 IS - 7 AU - Carvalho, L. AU - Diogo, C. AU - Mendes, S. AU - Soares, H. PY - 2025 SP - 1332-1345 SN - 0308-1087 DO - 10.1080/03081087.2024.2413653 UR - https://www.tandfonline.com/journals/glma20 AB - 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. ER -
English