John E. McCarthy

most citedA Caratheodory theorem for the bidisk via Hilbert space methods

1 citations · 1 across the 1 of their papers we have counts for

collaborators

3 papers

math.CV2026★ 1 cited

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 $Ï\in\tb$ is a point at which $\ph$ has an angular gradient $\nabla\ph(Ï)$ then $\nabla\ph(\la) \to \nabla\…

math.FA2026

From Clouatre-Ostermann-Ransford to Okubo-Ando

Michael Hartz, John E. McCarthy

We prove that if $I^¸$ is a continuous unital homomorphism of an operator algebra $A$ into $B (H)$ , and $I^^{2}$ is in the dual space of $A$ , then the completely bounded norm o…

math.PR2025

Random commuting matrices

John E. McCarthy

We define a random commuting $d$ -tuple of $n$ -by- $n$ matrices to be a random variable that takes values in the set of commuting $d$ -tuples and has a distribution that is a rapidly…