Quaternionic essential numerical range of complex operators

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dc.contributor.authorCarvalho, L.
dc.contributor.authorDiogo, C.
dc.contributor.authorMendes, S.
dc.contributor.authorSoares, H.
dc.date.accessioned2024-10-10T08:56:39Z
dc.date.issued2025
dc.date.updated2025-04-30T10:36:35Z
dc.description.abstractWe 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.eng
dc.description.versioninfo:eu-repo/semantics/acceptedVersion
dc.identifier.citationCarvalho, L., Diogo, C., Mendes, S., & Soares, H. (2025). Quaternionic essential numerical range of complex operators. Linear and Multilinear Algebra, 73(7), 1332-1345. https://doi.org/10.1080/03081087.2024.2413653
dc.identifier.doi10.1080/03081087.2024.2413653
dc.identifier.issn0308-1087
dc.identifier.urihttp://hdl.handle.net/10071/32470
dc.language.isoeng
dc.number7
dc.pagination1332 - 1345
dc.peerreviewedyes
dc.publisherRoutledge/Taylor and Francis
dc.relationinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F04459%2F2020/PT
dc.relationinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F04674%2F2020/PT
dc.relationinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F00212%2F2020/PT
dc.relationinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDP%2F04459%2F2020/PT
dc.rightsopen access
dc.subjectQuaternionseng
dc.subjectEssential numerical rangeeng
dc.subjectEssential S-spectrumeng
dc.subject.fosDomínio/Área Científica::Ciências Naturais::Matemáticaspor
dc.titleQuaternionic essential numerical range of complex operatorseng
dc.typearticle
dc.volume73
dspace.entity.typePublicationen
iscte.alternateIdentifiers.scopus2-s2.0-85205727950
iscte.alternateIdentifiers.wosWOS:WOS:001327465900001
iscte.identifier.cienciahttps://ciencia.iscte-iul.pt/id/ci-pub-106009
iscte.journalLinear and Multilinear Algebra

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