A Fiedler-type determinantal inequality in Euclidean Jordan algebras

Repositorio Académico UOH

dc.contributor.author	Sossa, D
dc.date.accessioned	2024-01-17T15:53:53Z
dc.date.available	2024-01-17T15:53:53Z
dc.date.issued	2023
dc.identifier.uri	https://repositorio.uoh.cl/handle/611/270
dc.description.abstract	The Fiedler's determinantal inequality stated by M. Fiedler in [5] (1971) provides bounds for the determinant of the sum of two Hermitian matrices. In this note, we extend the Fiedler's result to Euclidean Jordan algebras. In our proof, we use the commutation principle for variational problems which was recently introduced in these algebras. As an application, we obtain some Minkowski-type determinantal inequalities in Euclidean Jordan algebras.(c) 2023 Elsevier Inc. All rights reserved.
dc.description.sponsorship	FONDECYT (Chile)(Comision Nacional de Investigacion Cientifica y Tecnologica (CONICYT)CONICYT FONDECYT)
dc.relation.uri	http://dx.doi.org/10.1016/j.laa.2023.03.011
dc.subject	Euclidean Jordan algebra
dc.subject	Determinant
dc.subject	Commutation principle
dc.title	A Fiedler-type determinantal inequality in Euclidean Jordan algebras
dc.type	Artículo
uoh.revista	LINEAR ALGEBRA AND ITS APPLICATIONS
dc.identifier.doi	10.1016/j.laa.2023.03.011
dc.citation.volume	667
uoh.indizacion	Web of Science