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• W2960719081 endingPage "108548" @default.
• W2960719081 startingPage "108548" @default.
• W2960719081 abstract "It was shown classically that matrix monotone and matrix convex functions must be real analytic by Löwner and Kraus respectively. Recently, various analogues have been found in several noncommuting variables. We develop a general framework for lifting automatic analyticity theorems in matrix analysis from one variable to several variables, the so-called “royal road theorem.” That is, we establish the principle that the hard part of proving any automatic analyticity theorem lies in proving the one variable theorem. We use our main result to prove the noncommutative Löwner and Kraus theorems over operator systems as examples, including an analogue of the rational “butterfly realization” of Helton-McCullough-Vinnikov for general analytic functions." @default.
• W2960719081 created "2019-07-23" @default.
• W2960719081 creator A5005813786 @default.
• W2960719081 creator A5063645933 @default.
• W2960719081 date "2022-10-01" @default.
• W2960719081 modified "2023-10-14" @default.
• W2960719081 title "The royal road to automatic noncommutative real analyticity, monotonicity, and convexity" @default.
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• W2960719081 doi "https://doi.org/10.1016/j.aim.2022.108548" @default.
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