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The Elliptical and the Hyperbolical Range Theorems Revisited

dc.contributor.authorTeixeira, Ricardo Emanuel Cunha
dc.contributor.authorBebiano, Natália
dc.contributor.authorProvidência, João da
dc.date.accessioned2012-05-04T14:13:33Z
dc.date.available2012-05-04T14:13:33Z
dc.date.issued2007-07
dc.date.updated2012-04-29T21:03:56Z
dc.descriptionInternational Conference on Engineering and Mathematics (ENMA'2007), July 9-11, 2007 - Bilbao, Spain.por
dc.description.abstractA geometrical proof of the Hyperbolical Range Theorem, concerning the numerical range of linear operators on 2-dimensional Krein spaces, is given. The classical Elliptical Range Theorem, which is the correspondent result for Hilbert spaces, is also obtained using the same technique. Both proofs depend on the geometrical properties of the plane algebraic curve that generates the numerical range as its convex hull or as its pseudoconvex hull.por
dc.identifier.citationTeixeira, Ricardo; Bebiano, Natália; Providência, João da. The Elliptical and the Hyperbolical Range Theorems Revisited. In "Proceedings of the International Conference on Engineering and Mathematics (ENMA 2007), Bilbao, 2007".por
dc.identifier.urihttp://hdl.handle.net/10400.3/1340
dc.language.isoengpor
dc.subjectGeneralized Numerical Rangepor
dc.subjectIndefinite Inner Product Spacepor
dc.subjectPlane Algebraic Curvepor
dc.subjectNumerical Rangepor
dc.titleThe Elliptical and the Hyperbolical Range Theorems Revisitedpor
dc.typeconference object
dspace.entity.typePublication
rcaap.rightsopenAccesspor
rcaap.typeconferenceObjectpor

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