Operator monotone functions of several variables
Operator Algebras
2007-05-23 v1 Rings and Algebras
Abstract
We propose a notion of operator monotonicity for functions of several variables, which extends the well known notion of operator monotonicity for functions of only one variable. The notion is chosen such that a fundamental relationship between operator convexity and operator monotonicity for functions of one variable is extended also to functions of several variables.
Cite
@article{arxiv.math/0205147,
title = {Operator monotone functions of several variables},
author = {Frank Hansen},
journal= {arXiv preprint arXiv:math/0205147},
year = {2007}
}