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Operator monotone functions of several variables

2002/05/14 by Frank Hansen
Mathematics · #math.OA #math.RA #msc:47A56 #msc:26B25 #msc:47A63

paper · pdf

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

arxiv created 2002/05/14 · arxiv updated 2009/11/30

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.

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