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- W4313232567 abstract "It was shown classically that matrix monotone and matrix convex functions must be real analytic by Lowner 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 Lowner and Kraus theorems over operator systems as examples, including an analogue of the butterfly realization of Helton-McCullough-Vinnikov for general analytic functions." @default.
- W4313232567 created "2023-01-06" @default.
- W4313232567 creator A5028368346 @default.
- W4313232567 creator A5063645933 @default.
- W4313232567 date "2019-07-12" @default.
- W4313232567 modified "2023-10-16" @default.
- W4313232567 title "The royal road to automatic noncommutative real analyticity, monotonicity, and convexity" @default.
- W4313232567 doi "https://doi.org/10.48550/arxiv.1907.05875" @default.
- W4313232567 hasPublicationYear "2019" @default.
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