Mićić Hot, Jadranka and Moslehian, Mohammad Sal and Kian, Mohsen (2013) An operator inequality and its consequences. = An operator inequality and its consequences. Linear Algebra and Its Applications, 439 (3). pp. 584591. ISSN 00243795. Vrsta rada: ["eprint_fieldopt_article_type_article" not defined]. Kvartili JCR: Q2 (2013). Točan broj autora: 3.

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Abstract
Let f be a continuous convex function on an interval J, let A, B, C, D be selfadjoint operators acting on a Hilbert space with spectra contained in J such that A + D = B + C and A≤m≤B,C≤M≤D for two real numbers m<M, and let Φ be a unital positive linear map on B( ℋ). We prove the inequalityf(Φ(B))+f(Φ(C))≤Φ(f(A))+Φ(f(D))and apply it to obtain several inequalities such as the JensenMercer operator inequality and the Petrovic operator inequality.
Item Type:  Article (["eprint_fieldopt_article_type_article" not defined]) 

Keywords (Croatian):  Convex functions; Functional calculus; Linear maps; Operator inequalities; Self adjoint operator; Linear algebra; Mathematical techniques; Functions 
Subjects:  NATURAL SCIENCES > Mathematics TECHNICAL SCIENCE > Electrical Engineering TECHNICAL SCIENCE > Computing 
Divisions:  1500 Chair of Mathematics 
Indexed in Web of Science:  Yes 
Indexed in Current Contents:  Yes 
Quartiles:  Q2 (2013) 
Date Deposited:  07 May 2015 11:29 
Last Modified:  23 May 2017 11:25 
URI:  http://repozitorij.fsb.hr/id/eprint/4029 
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