Piling Structure of Families of Matrix Monotone Functions and of Matrix Convex Functions

DOI10.1007/978-3-319-27842-1_27zbMath1411.47006OpenAlexW2523208337MaRDI QIDQ4645879

Jun Tomiyama

Publication date: 11 January 2019

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

Full work available at URL: https://doi.org/10.1007/978-3-319-27842-1_27

zbMATH Keywords

gapsmatrix convex functionsmatrix monotone functions

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Miscellaneous inequalities involving matrices (15A45) Convexity of real functions in one variable, generalizations (26A51) Monotonic functions, generalizations (26A48)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Double piling structure of matrix monotone functions and of matrix convex functions. II.
• Double piling structure of matrix monotone functions and of matrix convex functions
• Differential analysis of matrix convex functions
• Jensen's inequality for operators and Loewner's theorem
• Concavity of monotone matrix functions of finite order
• Monotone operator functions, gaps and power moment problem
• A new proof of Löwner's theorem on monotone matrix functions.
• GAPS BETWEEN CLASSES OF MATRIX MONOTONE FUNCTIONS
• Note on the Structure of the Spaces of Matrix Monotone Functions

This page was built for publication: Piling Structure of Families of Matrix Monotone Functions and of Matrix Convex Functions