Hildebrandt's theorem for the essential spectrum

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dc.contributor.authorBracic, J.
dc.contributor.authorDiogo, C.
dc.date.accessioned2015-05-15T14:43:01Z
dc.date.available2015-05-15T14:43:01Z
dc.date.issued2015
dc.date.updated2019-05-03T14:52:48Z
dc.description.abstractWe prove a variant of Hildebrandt's theorem which asserts that the convex hull of the essential spectrum of an operator A on a complex Hilbert space is equal to the intersection of the essential numerical ranges of operators which are similar to A. As a consequence, it is given a necessary and sufficient condition for zero not being in the convex hull of the essential spectrum of A.eng
dc.description.versioninfo:eu-repo/semantics/publishedVersion
dc.distributionInternacionalpor
dc.identifier.doi10.7494/OpMath.2015.35.3.279
dc.identifier.issn1232-9274
dc.identifier.urihttp://hdl.handle.net/10071/8932
dc.journalOpuscula Mathematica
dc.language.isoeng
dc.number3
dc.pagination279 - 285
dc.peerreviewedyes
dc.publicationstatusPublicadopor
dc.publisherAGH University of Science and Technology Pres
dc.rightsopen accesspor
dc.subjectEssential numerical rangeeng
dc.subjectEssential spectrumeng
dc.subjectHildebrandt's theoremeng
dc.subject.fosDomínio/Área Científica::Ciências Naturais::Matemáticaspor
dc.titleHildebrandt's theorem for the essential spectrumeng
dc.typearticle
dc.volume35
degois.publication.firstPage279
degois.publication.issue3
degois.publication.lastPage285
degois.publication.titleHildebrandt's theorem for the essential spectrumeng
dspace.entity.typePublicationen
iscte.alternateIdentifiers.scopus2-s2.0-84919683757
iscte.alternateIdentifiers.wosWOS:000358432000001
iscte.identifier.cienciahttps://ciencia.iscte-iul.pt/id/ci-pub-22850

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