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 |
|