A note on definition of matrix convex functions

dc.contributor.author	Tikhonov O.
dc.date.accessioned	2018-09-18T20:05:46Z
dc.date.available	2018-09-18T20:05:46Z
dc.date.issued	2006
dc.identifier.issn	0024-3795
dc.identifier.uri	https://dspace.kpfu.ru/xmlui/handle/net/136453
dc.description.abstract	We prove that a real-valued function f defined on an interval S in R is matrix convex if and only if for any natural k, for all families of positive operators { Ai }i = 1 k in a finite-dimensional Hilbert space, such that ∑i = 1 k Ai = 1, and arbitrary numbers xi ∈ S, the inequality{A formula is presented}holds true. © 2006 Elsevier Inc. All rights reserved.
dc.relation.ispartofseries	Linear Algebra and Its Applications
dc.subject	Matrix convex function
dc.subject	The Neumark theorem
dc.title	A note on definition of matrix convex functions
dc.type	Article
dc.relation.ispartofseries-issue	2-3
dc.relation.ispartofseries-volume	416
dc.collection	Публикации сотрудников КФУ
dc.relation.startpage	773
dc.source.id	SCOPUS00243795-2006-416-23-SID33646903744

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