A new proof of Löwner's theorem on monotone matrix functions.

DOI10.7146/math.scand.a-11889zbMath0433.15012OpenAlexW2538607727MaRDI QIDQ3871031

Gunnar Sparr

Publication date: 1980

Published in: MATHEMATICA SCANDINAVICA (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/166727

zbMATH Keywords

positive semidefinitemoment theorymonotone matrix function

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Positive matrices and their generalizations; cones of matrices (15B48)

Related Items (10)

The fast track to Löwner's theorem ⋮ Loewner's theorem in several variables ⋮ Jensen's inequality for operators and Loewner's theorem ⋮ Matrix Monotone Functions and the Generalized Powers–Størmer Inequality ⋮ Piling Structure of Families of Matrix Monotone Functions and of Matrix Convex Functions ⋮ MONOTONE OPERATOR FUNCTIONS ON C*-ALGEBRAS ⋮ The Calderón problem for Hilbert couples ⋮ Note on the Structure of the Spaces of Matrix Monotone Functions ⋮ Interpolation of Normed Abelian Groups and Non-Commutative Integration ⋮ Double piling structure of matrix monotone functions and of matrix convex functions

This page was built for publication: A new proof of Löwner's theorem on monotone matrix functions.