Log majorization and complementary Golden-Thompson type inequalities

DOI10.1016/0024-3795(94)90484-7zbMath0793.15011OpenAlexW2025599743MaRDI QIDQ1319983

Publication date: 25 August 1994

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

Full work available at URL: https://doi.org/10.1016/0024-3795(94)90484-7

zbMATH Keywords

positive semidefinite matrices determinant inequalities log majorization complementary Golden-Thompson type inequalities logarithmic trace inequalities

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Miscellaneous inequalities involving matrices (15A45)

Related Items

Inequalities on 2 × 2 block positive semidefinite matrices, On norm inequalities related to the geometric mean, Weak log-majorization between the geometric and Wasserstein means, Near order and metric-like functions on the cone of positive definite matrices, Operator geodesically convex functions and their applications, Inequalities for Matrix Exponentials and Their Extensions to Lie Groups, Log-majorization of Gan-Liu-Tam type, Reverse of Fujii-Seo type log-majorization and its application to the Tsallis relative entropies, On some algebraic properties related to Heron type operator means on positive definite cones of \(C^\ast\)-algebras, Some new characterizations of central positive elements in \(C^\ast\)-algebras, Inequalities and limits of weighted spectral geometric mean, Weak log-majorization and inequalities of power means, On a question of Furuta on chaotic order, Furuta type inequalities via operator means and applications to Kadison's type inequalities, Generalizing the Ando-Hiai inequality for sectorial matrices, On a matrix trace inequality due to Ando, Hiai and Okubo, Extremal matrices in certain determinantal inequalities, A generalization of Araki's log-majorization, Some norm inequalities for matrix means, Log-majorization Type Inequalities, Ando-Hiai Inequality: Extensions and Applications, Perspectives, Means and their Inequalities, An order inequality characterizing invariant barycenters on symmetric cones, New estimates on numerical radius and operator norm of Hilbert space operators, Estimates of Ando–Hiai-type inequalities on operator power means, Two-variable Wasserstein means of positive definite operators, Extension of the Furuta inequality and Ando-Hiai log-majorization, More accurate operator means inequalities, Repetition invariant geometric means, Majorization relations for Hadamard products, Further generalizations of Bebiano-Lemos-Providência inequality, Trace norm convergence of exponential product formula, Some matrix inequalities of log-majorization type, Lie-Trotter formula for the Hadamard product, Log-majorization and Lie-Trotter formula for the Cartan barycenter on probability measure spaces, Generalizations of Kosaki trace inequalities and related trace inequalities on chaotic order, Characterizations of Jordan \(^*\)-isomorphisms of \(C^*\)-algebras by weighted geometric mean related operations and quantities, On reverses of the Golden-Thompson type inequalities, On the Ando–Li–Mathias mean and the Karcher mean of positive definite matrices, Generalized log-majorization and multivariate trace inequalities, Hadamard products and Golden-Thompson type inequalities, A generalized Matharu-Aujla inequality, On some inequalities for the matrix power and Karcher means, Geometric convexity of an operator mean, Another consequence of Tanahashi's argument on best possibility of the grand Furuta inequality, When does Ando-Hiai inequality hold?, Functions preserving operator means, A satellite of the grand Furuta inequality and its application, Extensions of inequalities for unitarily invariant norms via log majorization, Riemannian metrics on positive definite matrices related to means. II, Comprehensive survey on an order preserving operator inequality, Different quantum f-divergences and the reversibility of quantum operations, Eigenvalue inequalities related to the Ando-Hiai inequality, Norm inequalities related to the matrix geometric mean, An Araki-Lieb-Thirring inequality for geometrically concave and geometrically convex functions, Matrix inequalities in statistical mechanics., Kantorovich type operator inequalities via the Specht ratio., Submultiplicativity vs subadditivity for unitarily invariant norms., Log-majorization related to Rényi divergences, In-sphere property and reverse inequalities for matrix means, Convex multivariate operator means, Which traces are spectral?, The minimization of matrix logarithms: on a fundamental property of the unitary polar factor, Matrix trace inequalities on Tsallis relative entropy of negative order, An extension of Furuta's log majorization inequality, Advances in Dixmier traces and applications, The off-diagonal block of a PPT matrix, On an eigenvalue inequality involving the Hadamard product, On two geometric means and sum of adjoint orbits, A complement of the Ando--Hiai inequality, Ando-Hiai and Golden-Thompson inequalities, Strong majorization for Hermitian matrices, Monotonicity of order preserving operator functions, New properties for certain positive semidefinite matrices, The order properties and Karcher barycenters of probability measures on the open convex cone, Multivariate trace inequalities, Jensen and Minkowski inequalities for operator means and anti-norms, Matrix-valued Jensen's inequality and its application to eigenvalue analysis, Some ways of constructing Furuta-type inequalities, Characterization of chaotic order and its applications to furuta's type operator inequalities, Inequalities for the Wasserstein mean of positive definite matrices, Convergence of logarithmic trace inequalities via generalized Lie--Trotter formulae, Trace inequalities for logarithms and powers of J-Hermitian matrices, An asymmetric Kadison's inequality, Ando-Hiai inequality and Furuta inequality, A converse of Loewner-Heinz inequality and applications to operator means, Inequalities for quantum relative entropy, Norm inequalities for matrix geometric means of positive definite matrices, Operator inequality implying generalized Bebiano-Lemos-Providência one, Variants of Ando-Hiai Inequality, Reciprocal Lie–Trotter formula, Indefinite matrix inequalities via matrix means, Ando–Hiai-type inequalities for operator means and operator perspectives, A generalized Lemos-Soares norm inequality, Mean theoretic approach to the grand Furuta inequality, Log majorization via an order preserving operator inequality, Riemannian metrics on positive definite matrices related to means, Operator means of probability measures, Geometry and inequalities of geometric mean, Pusz-Woronowicz functional calculus and extended operator convex perspectives, Ando–Hiai type inequalities for multivariate operator means, The Ando-Hiai inequalities for the solution of the generalized Karcher equation and related results, Operator inequalities and gyrolines of the weighted geometric means, Some trace inequalities for exponential and logarithmic functions, Some norm inequalities for operators, Variants of Ando–Hiai inequality for operator power means, VARIANTS OF ANDO–HIAI TYPE INEQUALITIES FOR DEFORMED MEANS AND APPLICATIONS, Separated spectra and operator inequalities, Tsallis entropies and matrix trace inequalities in quantum statistical mechanics, Majorizations and inequalities in matrix theory, On the range of the parameters for the grand Furuta inequality to be valid, Extensions of Lemos-Soares type log-majorization, A norm compression inequality for block partitioned positive semidefinite matrices

Cites Work