Please use this identifier to cite or link to this item: http://hdl.handle.net/10316/11306
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dc.contributor.authorBebiano, N.-
dc.contributor.authorProvidência, J. da-
dc.contributor.authorTeixeira, R.-
dc.date.accessioned2009-09-07T12:13:03Z-
dc.date.available2009-09-07T12:13:03Z-
dc.date.issued2007-
dc.identifier.citationPré-Publicações DMUC. 07-06 (2007)en_US
dc.identifier.urihttp://hdl.handle.net/10316/11306-
dc.description.abstractThe characteristic polynomial of the pencil generated by two J-Hermitian matrices is studied in connection with the numerical range. Geometric properties of the numerical range of linear operators on an inde nite inner product space are investigated. The point equation of the associated curve of the numerical range is derived, following Fiedler's approach for de nite inner product spaces. The classi cation of the associated curve in the 3 £ 3 case is presented, using Newton's classi cation of cubic curves. As a consequence, the respective numerical ranges are characterized. Illustrative examples of all the di erent possibilities are given.en_US
dc.description.sponsorshipCentro de Matemática da Universidade de Coimbra; FCT, program POCI 2010en_US
dc.language.isoengen_US
dc.publisherCentro de Matemática da Universidade de Coimbraen_US
dc.rightsopenAccesseng
dc.subjectNumerical rangeen_US
dc.subjectGeneralized numerical rangeen_US
dc.subjectInde nite inner product spaceen_US
dc.subjectPlane algebraic curveen_US
dc.titleGeometry of the numerical range of Krein space operatorsen_US
dc.typepreprinten_US
item.fulltextCom Texto completo-
item.grantfulltextopen-
item.languageiso639-1en-
crisitem.author.deptFaculty of Sciences and Technology-
crisitem.author.deptFaculty of Sciences and Technology-
crisitem.author.parentdeptUniversity of Coimbra-
crisitem.author.parentdeptUniversity of Coimbra-
crisitem.author.researchunitCMUC - Centre for Mathematics of the University of Coimbra-
crisitem.author.orcid0000-0003-4215-3067-
Appears in Collections:FCTUC Física - Vários
FCTUC Matemática - Vários
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