Locally strong majorization and commutativity in \(C^*\)-algebras with applications

DOI10.1007/s00025-019-0956-4zbMath1506.47023OpenAlexW2914154570MaRDI QIDQ667587

Marek Niezgoda

Publication date: 28 February 2019

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-019-0956-4

zbMATH Keywords

self-adjoint operatormajorizationpositive linear mapoperator convex functioncolumn stochastic matrix

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Commutativity of matrices (15A27) Inequalities for sums, series and integrals (26D15) Convexity of real functions of several variables, generalizations (26B25) Stochastic matrices (15B51)

Cites Work

• Unnamed Item
• Unnamed Item
• Hermite-Hadamard's type inequalities for operator convex functions
• A variant of Jensen's inequality of Mercer's type for operators with applications
• A matrix subadditivity inequality for \(f(A + B)\) and \(f(A) + f(B)\)
• Vector joint majorization and generalization of Csiszár-Körner's inequality for \(f\)-divergence
• Jensen's inequality for operators and Loewner's theorem
• Matrix majorization
• Sherman type theorem on \(C^*\)-algebras
• Weak matrix majorization
• An operator inequality and its consequences
• The Jensen inequality in an external formula
• Subadditivity of eigenvalue sums
• Jensen's operator inequality and its converses
• JENSEN'S OPERATOR INEQUALITY
• Choi-Davis-Jensen's inequality and generalized inverses of linear operators
• On a Theorem of Hardy, Littlewood, Polya, and Blackwell

This page was built for publication: Locally strong majorization and commutativity in \(C^*\)-algebras with applications