Jensen's inequality for operators without operator convexity

DOI10.1016/j.laa.2010.11.004zbMath1216.47026OpenAlexW1979660151MaRDI QIDQ624524

Jadranka Mićić, Zlatko Pavić, Josip E. Pečarić

Publication date: 9 February 2011

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: http://repozitorij.fsb.hr/3829/1/Dummy%20article.pdf

zbMATH Keywords

convex functionselfadjoint operatoroperator inequalityJensen inequalityquasi-arithmetic meanpositive linear mapping

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Operator means involving linear operators, shorted linear operators, etc. (47A64)

Related Items (14)

On subadditivity and superadditivity of functions on positive operators ⋮ Concavity of certain matrix trace and norm functions ⋮ On matrix inequalities between the power means: counterexamples ⋮ Subadditive inequalities for operators ⋮ A sufficient condition for that an operator map is of the form of functional calculus ⋮ Recent Research on Levinson’s Inequality ⋮ Unnamed Item ⋮ Refined converses of Jensen's inequality for operators ⋮ Choi-Davis-Jensen's inequality without convexity ⋮ Some complementary inequalities to Jensen's operator inequality ⋮ Extension of Jensen's inequality for operators without operator convexity ⋮ On operator inequalities of Jensen type for convex functions ⋮ Operator inequalities of Jensen type ⋮ Separated spectra and operator inequalities

Cites Work

• A Schwarz inequality for positive linear maps on C\(^*\)-algebras
• A Schwarz Inequality for Convex Operator Functions
• Jensen's operator inequality and its converses
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• Unnamed Item

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