A general lifting framework called the royal road theorem shows that automatic analyticity, monotonicity, and convexity results in multiple noncommuting variables follow from the one-variable case, with applications to noncommutative Löwner and Kraus theorems over operator systems.
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The royal road to automatic noncommutative real analyticity, monotonicity, and convexity
A general lifting framework called the royal road theorem shows that automatic analyticity, monotonicity, and convexity results in multiple noncommuting variables follow from the one-variable case, with applications to noncommutative Löwner and Kraus theorems over operator systems.