Inequalities for Determinants and Characterization of the Trace

dc.contributor.author	Bikchentaev A.M.
dc.date.accessioned	2021-02-24T20:33:50Z
dc.date.available	2021-02-24T20:33:50Z
dc.date.issued	2020
dc.identifier.issn	0037-4466
dc.identifier.uri	https://dspace.kpfu.ru/xmlui/handle/net/160914
dc.description.abstract	© 2020, Pleiades Publishing, Ltd. Let tr be the canonical trace on the full matrix algebra ℳn with unit I. We prove that if some analog of classical inequalities for the determinant and trace (or the permanent and trace) of matrices holds for a positive functional φ on ℳn with φ(I) = n, then φ = tr. Also, we generalize Fischer’s inequality for determinants and establish a new inequality for the trace of the matrix exponential.
dc.relation.ispartofseries	Siberian Mathematical Journal
dc.subject	determinant
dc.subject	Fischer inequality
dc.subject	linear functional
dc.subject	matrix
dc.subject	matrix exponential
dc.subject	permanent
dc.subject	trace
dc.title	Inequalities for Determinants and Characterization of the Trace
dc.type	Article
dc.relation.ispartofseries-issue	2
dc.relation.ispartofseries-volume	61
dc.collection	Публикации сотрудников КФУ
dc.relation.startpage	248
dc.source.id	SCOPUS00374466-2020-61-2-SID85086402615

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