Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/11306
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Bebiano, N. | - |
dc.contributor.author | Providência, J. da | - |
dc.contributor.author | Teixeira, R. | - |
dc.date.accessioned | 2009-09-07T12:13:03Z | - |
dc.date.available | 2009-09-07T12:13:03Z | - |
dc.date.issued | 2007 | - |
dc.identifier.citation | Pré-Publicações DMUC. 07-06 (2007) | en_US |
dc.identifier.uri | https://hdl.handle.net/10316/11306 | - |
dc.description.abstract | The 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.sponsorship | Centro de Matemática da Universidade de Coimbra; FCT, program POCI 2010 | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Centro de Matemática da Universidade de Coimbra | en_US |
dc.rights | openAccess | eng |
dc.subject | Numerical range | en_US |
dc.subject | Generalized numerical range | en_US |
dc.subject | Inde nite inner product space | en_US |
dc.subject | Plane algebraic curve | en_US |
dc.title | Geometry of the numerical range of Krein space operators | en_US |
dc.type | preprint | en_US |
item.fulltext | Com Texto completo | - |
item.grantfulltext | open | - |
item.languageiso639-1 | en | - |
item.cerifentitytype | Publications | - |
item.openairetype | preprint | - |
item.openairecristype | http://purl.org/coar/resource_type/c_816b | - |
crisitem.author.dept | Faculty of Sciences and Technology | - |
crisitem.author.parentdept | University of Coimbra | - |
crisitem.author.researchunit | CMUC - Centre for Mathematics of the University of Coimbra | - |
crisitem.author.orcid | 0000-0003-4215-3067 | - |
Appears in Collections: | FCTUC Física - Vários FCTUC Matemática - Vários |
Files in This Item:
File | Description | Size | Format | |
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Geometry of the numerical range.pdf | 268.46 kB | Adobe PDF | View/Open |
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