A complementary result to the superadditivity of operator means

DOI10.1080/00927872.2022.2030347OpenAlexW4210961154MaRDI QIDQ5080215

Marek Niezgoda

Publication date: 31 May 2022

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2022.2030347

zbMATH Keywords

Hilbert spacesuperadditive mappositive invertible operatorcommutative operatorsmean of operators

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Equations and inequalities involving linear operators, with vector unknowns (47A50) Operator means involving linear operators, shorted linear operators, etc. (47A64)

Cites Work

• On triangle inequality for Miranda-Thompson's majorization and gradients of increasing functions
• Concavity of certain maps on positive definite matrices and applications to Hadamard products
• Means of positive linear operators
• Majorizations and inequalities in matrix theory
• Complementary inequalities to inequalities of Jensen and Ando based on the Mond-Pečarić method
• Refinements of triangle-like inequalities in Lie's framework
• Some remarks on the triangle inequality for norms
• Matrix Analysis: Matrix Monotone Functions, Matrix Means, and Majorization
• Refinements of Ky Fan's eigenvalue inequality for simple Euclidean Jordan algebras by using gradients of K-increasing functions
• On Maligranda like inequalities for G-majorization
• Some inequalities involving operator means and monotone convex functions
• Simple Norm Inequalities

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