Characterizations of the canonical trace on full matrix algebras

Moslehian Mohammad Sal; Bikchentaev Airat Midkhatovich

dc.contributor	Казанский федеральный университет
dc.contributor.author	Moslehian Mohammad Sal
dc.contributor.author	Bikchentaev Airat Midkhatovich
dc.date.accessioned	2025-06-10T10:27:15Z
dc.date.available	2025-06-10T10:27:15Z
dc.date.issued	2025
dc.identifier.citation	Mohammad Sal Moslehian, Bikchentaev Airat M. Characterizations of the canonical trace on full matrix algebras // Journal of Mathematical Analysis and Applications. - 2025. - Volume 552. - Issue 2.
dc.identifier.issn	0022-247X
dc.identifier.uri	https://dspace.kpfu.ru/xmlui/handle/net/185281
dc.description.abstract	We establish that a positive linear functional f on the full matrix algebra is a positive multiple of the canonical trace if and only if f(\|A\|)=f(A) implies that A is positive semidefinite. Furthermore, we characterize the canonical trace on Mn among all positive linear functionals φ on Mn with via Yang's inequality (1988). for positive semidefinite matrices.
dc.language.iso	en
dc.relation.ispartofseries	J MATH ANAL APPL
dc.rights	открытый доступ
dc.subject	Yang's inequality
dc.subject	positive semidefinite
dc.subject	trace characterization
dc.subject.other	Математика
dc.title	Characterizations of the canonical trace on full matrix algebras
dc.type	Article
dc.contributor.org	Институт математики и механики им. Н.И. Лобачевского
dc.description.pages	1-9
dc.relation.ispartofseries-issue	2
dc.relation.ispartofseries-volume	552
dc.pub-id	314638
dc.identifier.doi	10.1016/j.jmaa.2025.129764