On subadditivity and superadditivity of functions on positive operators

DOI10.1007/s00009-021-01855-wOpenAlexW3198877438MaRDI QIDQ821516

Ehsan Anjidani

Publication date: 20 September 2021

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-021-01855-w

zbMATH Keywords

subadditivityoperator inequalitiessuperadditivityJensen's operator inequalityfunction order of positive operator

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Functional calculus for linear operators (47A60)

Cites Work

• Unnamed Item
• Around operator monotone functions
• Superadditivity and derivative of operator functions
• Jensen's inequality for operators without operator convexity
• Inequalities between \(\|f(A + B)\|\) and \(\|f(A) + f(B)\|\)
• A matrix subadditivity inequality for \(f(A + B)\) and \(f(A) + f(B)\)
• Norm inequalities for positive operators
• Weak majorization inequalities and convex functions
• Some functions reversing the order of positive operators
• Function order of positive operators based on the Mond-Pečarić method
• Norm inequalities related to operator monotone functions
• Reverse Jensen-Mercer Type Operator Inequalities
• On operator inequalities of Jensen type for convex functions

This page was built for publication: On subadditivity and superadditivity of functions on positive operators