Developed matrix inequalities via positive multilinear mappings

DOI10.1016/j.laa.2015.06.028zbMath1330.47071arXiv1512.02591OpenAlexW1931198019MaRDI QIDQ491105

Mohsen Kian, Mahdi Dehghani, Yuki Seo

Publication date: 24 August 2015

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

Full work available at URL: https://arxiv.org/abs/1512.02591

zbMATH Keywords

spectral decompositionpositive matrixmatrix meanKarcher meanmatrix convexpositive multilinear mapping

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Multilinear and polynomial operators (47H60) Operator means involving linear operators, shorted linear operators, etc. (47A64)

Related Items (7)

Jointly convex mappings related to Lieb's theorem and Minkowski type operator inequalities ⋮ Some inequalities for matrix power means ⋮ Matrix power means and the information monotonicity ⋮ Variants of Ando–Hiai inequality for operator power means ⋮ Some inequalities for positive multilinear mappings ⋮ Extension of the Kantorovich inequality for positive multilinear mappings ⋮ Matrix inequalities related to power means of probability measures

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Non-commutative Callebaut inequality
• Around Choi inequalities for positive linear maps
• Generalized matrix version of reverse Hölder inequality
• Matrix power means and the Karcher mean
• Some inequalities for positive linear maps
• Riemannian geometry and matrix geometric means
• A variant of Jensen's inequality of Mercer's type for operators with applications
• An asymmetric Kadison's inequality
• Concavity of certain maps on positive definite matrices and applications to Hadamard products
• A Schwarz inequality for positive linear maps on C\(^*\)-algebras
• Means of positive linear operators
• Complementary inequalities to inequalities of Jensen and Ando based on the Mond-Pečarić method
• Recent developments of the operator Kantorovich inequality
• On an operator Kantorovich inequality for positive linear maps
• On matrix inequalities between the power means: counterexamples
• Karcher means and Karcher equations of positive definite operators
• A Schwarz Inequality for Convex Operator Functions
• Kantorovich type inequalities for ordered linear spaces
• Über eine Ungleichung für positiv definite Matrizen
• Choi-Davis-Jensen's inequality and generalized inverses of linear operators
• Derivatives of tensor powers and their norms
• Refinements of the operator Jensen-Mercer inequality

This page was built for publication: Developed matrix inequalities via positive multilinear mappings