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http://hdl.handle.net/10071/31747
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Campo DC | Valor | Idioma |
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dc.contributor.author | Carvalho, L. | - |
dc.contributor.author | Diogo, C. | - |
dc.contributor.author | Mendes, S. | - |
dc.contributor.author | Soares, H. | - |
dc.date.accessioned | 2024-05-22T10:51:51Z | - |
dc.date.issued | 2024 | - |
dc.identifier.citation | Carvalho, L., Diogo, C., Mendes, S., & Soares, H. (2024). On the convexity of the quaternionic essential numerical range. Proceedings of the Edinburgh Mathematical Society. https://doi.org/10.1017/S0013091524000336 | - |
dc.identifier.issn | 0013-0915 | - |
dc.identifier.uri | http://hdl.handle.net/10071/31747 | - |
dc.description.abstract | 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. | eng |
dc.language.iso | eng | - |
dc.publisher | Cambridge University Press | - |
dc.rights | embargoedAccess | - |
dc.subject | Quaternions | eng |
dc.subject | Numerical range | eng |
dc.subject | Essential numerical range | eng |
dc.title | On the convexity of the quaternionic essential numerical range | eng |
dc.type | article | - |
dc.peerreviewed | yes | - |
dc.volume | N/A | - |
dc.date.updated | 2024-05-22T11:51:27Z | - |
dc.description.version | info:eu-repo/semantics/acceptedVersion | - |
dc.identifier.doi | 10.1017/S0013091524000336 | - |
dc.subject.fos | Domínio/Área Científica::Ciências Naturais::Matemáticas | por |
dc.date.embargo | 2024-11-11 | - |
iscte.identifier.ciencia | https://ciencia.iscte-iul.pt/id/ci-pub-104133 | - |
iscte.journal | Proceedings of the Edinburgh Mathematical Society | - |
Aparece nas coleções: | BRU-RI - Artigos em revistas científicas internacionais com arbitragem científica |
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