Operator monotone functions of several variables

Details Operator monotone functions of several variables Operator monotone functions of several variables

2002-05-14

arxiv.org/abs/math/0205147v1

Mathematical Inequalities & Applications 6 (2003), 1-17

Mathematics

Operator Algebras

Scientific paper

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.

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