Operator monotone functions of several variables
classification
🧮 math.OA
math.RA
keywords
functionsoperatormonotonicitynotionseveralvariablesvariablechosen
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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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