Characterization of the trace by young's inequality

dc.contributor.author	Bikchentaev A.
dc.contributor.author	Tikhonov O.
dc.date.accessioned	2018-09-17T21:33:28Z
dc.date.available	2018-09-17T21:33:28Z
dc.date.issued	2005
dc.identifier.issn	1443-5756
dc.identifier.uri	https://dspace.kpfu.ru/xmlui/handle/net/135146
dc.description.abstract	Let φ be a positive linear functional on the algebra of n × n complex matrices and p, q be positive numbers such that 1/p + 1/q = 1. We prove that if for any pair A, B of positive semi-definite n × n matrices the inequality φ(\|AB\|) ≤ φ/(Ap)/p + φ/(Bq)/q holds, then φ is a positive scalar multiple of the trace. © 2005 Victoria University. All rights reserved.
dc.relation.ispartofseries	Journal of Inequalities in Pure and Applied Mathematics
dc.subject	Characterization of the trace
dc.subject	Matrix Young's inequality
dc.title	Characterization of the trace by young's inequality
dc.type	Article
dc.relation.ispartofseries-issue	2
dc.relation.ispartofseries-volume	6
dc.collection	Публикации сотрудников КФУ
dc.source.id	SCOPUS14435756-2005-6-2-SID27344450108

Files in this item

Name: SCOPUS14435756-20 ...

Size: 43.77Kb

Format: PDF

Публикации сотрудников КФУ Scopus [24551]
Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.