Numerical range of a pair of strictly upper triangular matrices

dc.creator	Yan, Wen	es
dc.date	2011-05-25
dc.identifier	https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/1188
dc.identifier	10.4067/S0716-09172011000100008
dc.description	Given 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
dc.format	application/pdf
dc.language	spa
dc.publisher	Universidad Católica del Norte.	en
dc.relation	https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/1188/pdf
dc.rights	Copyright (c) 2011 Proyecciones. Journal of Mathematics	en
dc.rights	https://creativecommons.org/licenses/by/4.0	en
dc.source	Proyecciones (Antofagasta); Vol. 30 No. 1 (2011); 77-90	en
dc.source	Proyecciones. Revista de Matemática; Vol. 30 Núm. 1 (2011); 77-90	es
dc.source	0717-6279
dc.source	10.22199/issn.0717-6279-2011
dc.title	Numerical range of a pair of strictly upper triangular matrices	es
dc.type	info:eu-repo/semantics/article
dc.type	info:eu-repo/semantics/publishedVersion