Note on the Structure of the Spaces of Matrix Monotone Functions

DOI10.1007/978-3-642-20236-0_12zbMath1420.26008OpenAlexW197353349MaRDI QIDQ5195012

Hiroyuki Osaka, Jun Tomiyama

Publication date: 17 September 2019

Published in: Analysis for Science, Engineering and Beyond (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-20236-0_12

Mathematics Subject Classification ID

Linear operator methods in interpolation, moment and extension problems (47A57) Monotonic functions, generalizations (26A48)

Related Items

The royal road to automatic noncommutative real analyticity, monotonicity, and convexity ⋮ Piling Structure of Families of Matrix Monotone Functions and of Matrix Convex Functions ⋮ Interpolation functions and inequalities

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Jensen's inequality for operators and Loewner's theorem
• Über monotone Matrixfunktionen
• 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
• An operator inequality