2 papers
math.FA2019
The royal road to automatic noncommutative real analyticity, monotonicity, and convexity
J. E. Pascoe, Ryan Tully-Doyle
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 sev…
math.FA2015
Convex entire noncommutative functions are polynomials of degree two or less
J. William Helton, J. E. Pascoe, Ryan Tully-Doyle +1
This paper concerns matrix "convex" functions of (free) noncommuting variables, . Helton and McCullough showed that a polynomial in which is matrix conv…