Operator monotone functions of several variables
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.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 May 2002
 DOI:
 10.48550/arXiv.math/0205147
 arXiv:
 arXiv:math/0205147
 Bibcode:
 2002math......5147H
 Keywords:

 Operator Algebras;
 Rings and Algebras;
 47A56;
 26B25;
 47A63
 EPrint:
 Mathematical Inequalities &