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A publicação pode ser exportada nos seguintes formatos: referência da APA (American Psychological Association), referência do IEEE (Institute of Electrical and Electronics Engineers), BibTeX e RIS.

Exportar Referência (APA) 
Carvalho, L., Diogo, C., Mendes, S. & Soares, H. (2024). On the convexity of the quaternionic essential numerical range.  Proceedings of the Edinburgh Mathematical Society. 67 (3), 838-851
Exportar Referência (IEEE) 
L. C. Carvalho et al.,  "On the convexity of the quaternionic essential numerical range", in  Proc. of the Edinburgh Mathematical Society, vol. 67, no. 3, pp. 838-851, 2024
Exportar BibTeX 
@article{carvalho2024_1781629067433,
	author = "Carvalho, L. and Diogo, C. and Mendes, S. and Soares, H.",
	title = "On the convexity of the quaternionic essential numerical range",
	journal = " Proceedings of the Edinburgh Mathematical Society",
	year = "2024",
	volume = "67",
	number = "3",
	doi = "10.1017/S0013091524000336",
	pages = "838-851",
	url = "https://www.cambridge.org/core/journals/proceedings-of-the-edinburgh-mathematical-society"
}
Exportar RIS 
TY  - JOUR
TI  - On the convexity of the quaternionic essential numerical range
T2  -  Proceedings of the Edinburgh Mathematical Society
VL  - 67
IS  - 3
AU  - Carvalho, L.
AU  - Diogo, C.
AU  - Mendes, S.
AU  - Soares, H.
PY  - 2024
SP  - 838-851
SN  - 0013-0915
DO  - 10.1017/S0013091524000336
UR  - https://www.cambridge.org/core/journals/proceedings-of-the-edinburgh-mathematical-society
AB  - The numerical range in the quaternionic setting is, in general, a non-convex subset of the quaternions. The essential numerical range is a refinement of the numerical range that only keeps the elements that have, in a certain sense, infinite multiplicity. We prove that the essential numerical range of a bounded linear operator on a quaternionic Hilbert space is convex. A quaternionic analogue of Lancaster theorem, relating the closure of the numerical range and its essential numerical range, is also provided.
ER  -