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Numerical range of a pair of strictly upper triangular matrices

dc.creatorYan, Wen
dc.date2011-05-25
dc.date.accessioned2019-11-14T11:58:52Z
dc.date.available2019-11-14T11:58:52Z
dc.identifierhttps://www.revistaproyecciones.cl/article/view/77-90
dc.identifier10.4067/S0716-09172011000100008
dc.identifier.urihttps://revistaschilenas.uchile.cl/handle/2250/112979
dc.descriptionGiven two strictly upper triangular matrices X, Y ? Cm×m, we study the range WY (X) = {trnXn-1Y* : n ? N}, where N is the group of unit upper triangular matrices in Cm×m. We prove that it is either a point or the whole complex plane. We characterize when it is a point. We also obtain some convexity result for a similar range, where N is replaced by any ball of Ck(k = m(m - 1)/2) embedded in N , m = 4.es-ES
dc.formatapplication/pdf
dc.languagespa
dc.publisherUniversidad Católica del Norte.es-ES
dc.relationhttps://www.revistaproyecciones.cl/article/view/77-90/pdf
dc.rightsDerechos de autor 2011 Proyecciones. Journal of Mathematicses-ES
dc.sourceProyecciones. Journal of Mathematics; Vol 30 No 1 (2011); 77-90en-US
dc.sourceProyecciones. Revista de Matemática; Vol. 30 Núm. 1 (2011); 77-90es-ES
dc.source0717-6279
dc.source0716-0917
dc.subjectNumerical rangees-ES
dc.subjectUnit upper triangular matriceses-ES
dc.subjectStrictly upper triangular matrices.es-ES
dc.titleNumerical range of a pair of strictly upper triangular matriceses-ES
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion
dc.typeArtículo revisado por pareses-ES


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