Local characterizations for the matrix monotonicity and convexity of fixed order

DOI10.1090/proc/13674zbMath1408.26013arXiv1608.07516OpenAlexW2962991024MaRDI QIDQ4577155

Otte Heinävaara

Publication date: 17 July 2018

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.07516

zbMATH Keywords

matrix convex functionsmatrix monotone functions

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Convexity of real functions in one variable, generalizations (26A51) Monotonic functions, generalizations (26A48)

Related Items (4)

Kraus matrices and matrix convex functions ⋮ Zero-free regions near a line ⋮ Inertia of Kraus matrices ⋮ Matrix perspectives and matrix convexity

Uses Software

• SageMath

Cites Work

• A survey on operator monotonicity, operator convexity, and operator means
• The fast track to Löwner's theorem
• Differential analysis of matrix convex functions
• A practical guide to splines
• Über monotone Matrixfunktionen
• Über konvexe Matrixfunktionen
• Matrixfunktionen beschränkter Schwankung
• Higher order extension of Löwner’s theory: Operator 𝑘-tone functions
• Monotone and Convex Operator Functions
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