38 citations · 253 across the 49 of their papers we have counts for
4 papers · 1 filter
Operator monotone functions and Löwner functions of several variables
Jim Agler, John E. McCarthy, Nicholas J. Young
We prove generalizations of Löwner's results on matrix monotone functions to several variables. We give a characterization of when a function of variables is locally monotone o…
Polynomial inequalities for non-commuting operators
John E. McCarthy, Richard Timoney
We prove an inequality for polynomials applied in a symmetric way to non-commuting operators.
Facial behaviour of analytic functions on the bidisk
Jim Agler, John E. McCarthy, N. J. Young
We prove that if is an analytic function bounded by 1 on the bidisk and is a point in a face of the bidisk at which satisfies Caratheodory's condition then both and…
A Caratheodory theorem for the bidisk via Hilbert space methods
Jim Agler, John E. McCarthy, Nicholas J. Young
If $\ph$ is an analytic function bounded by 1 on the bidisk $\D^2$ and $τ\in\tb$ is a point at which $\ph$ has an angular gradient $\nabla\ph(τ)$ then $\nabla\ph(\la) \to \nabla\ph…