A glimpse at the operator Kantorovich inequality

dc.contributor.author	Moradi, Hamid Reza
dc.contributor.author	Gümüş, İbrahim halil
dc.contributor.author	Heydarbeygi, Zahra
dc.date.accessioned	2025-02-17T10:37:43Z
dc.date.available	2025-02-17T10:37:43Z
dc.date.issued	2019
dc.identifier.issn	0308-1087
dc.identifier.uri	http://dspace.adiyaman.edu.tr:8080/xmlui/handle/20.500.12414/5775
dc.description.abstract	We show the following result: Let A be a positive operator satisfying 0 < m1(H) <= A <= M1(H) for some scalars m, M with m < M and Phi be a normalized positive linear map, then Phi (A(-1)) <= Phi (m(A-M1H/M-m) Mm1H-A/M-m) <= (M + m)(2)/4Mm Phi(A)(-1). Besides, we prove that the second inequality in the above can be squared.	tr
dc.language.iso	en	tr
dc.publisher	TAYLOR & FRANCIS LTD	tr
dc.subject	Operator inequality	tr
dc.subject	Kantorovich inequality	tr
dc.subject	positive linear maps	tr
dc.subject	log-convex functions	tr
dc.title	A glimpse at the operator Kantorovich inequality	tr
dc.type	Article	tr
dc.contributor.authorID	0000-0002-0233-0455	tr
dc.contributor.authorID	0000-0002-3071-1159	tr
dc.contributor.department	Islamic Azad Univ, Mashhad Branch, Young Researchers & Elite Club, Mashhad, Iran	tr
dc.contributor.department	Adiyaman Univ, Dept Math, Fac Arts & Sci, Adiyaman, Turkey	tr
dc.contributor.department	Islamic Azad Univ, Mashhad Branch, Dept Math,	tr
dc.identifier.endpage	1036	tr
dc.identifier.issue	5	tr
dc.identifier.startpage	1031	tr
dc.identifier.volume	67	tr
dc.source.title	LINEAR & MULTILINEAR ALGEBRA	tr