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Carvalho, L., Diogo, C., Mendes, S. & Soares, H. (N/A). On the convexity of the quaternionic essential numerical range.  Proceedings of the Edinburgh Mathematical Society. N/A

L. C. Carvalho et al.,  "On the convexity of the quaternionic essential numerical range", in  Proc. of the Edinburgh Mathematical Society, vol. N/A, N/A

@article{carvalhoN/A_1721726226165,
	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 = "N/A",
	volume = "N/A",
	number = "",
	doi = "10.1017/S0013091524000336",
	url = "https://www.cambridge.org/core/journals/proceedings-of-the-edinburgh-mathematical-society"
}

TY  - JOUR
TI  - On the convexity of the quaternionic essential numerical range
T2  -  Proceedings of the Edinburgh Mathematical Society
VL  - N/A
AU  - Carvalho, L.
AU  - Diogo, C.
AU  - Mendes, S.
AU  - Soares, H.
PY  - N/A
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  -