38 citations · 253 across the 49 of their papers we have counts for
64 papers
From Clouatre-Ostermann-Ransford to Okubo-Ando
Michael Hartz, John E. McCarthy
We prove that if is a continuous unital homomorphism of an operator algebra into , and is in the dual space of , then the completely bounded norm of…
A note on composition operators on model spaces
Isabelle Chalendar, Pavel Gumenyuk, John E. McCarthy
Motivated by the study of composition operators on model spaces launched by Mashreghi and Shabankha we consider the following problem: for a given inner function $ϕ\not\in\mathsf{A…
Random commuting matrices
John E. McCarthy
We define a random commuting -tuple of -by- matrices to be a random variable that takes values in the set of commuting -tuples and has a distribution that is a rapidly…
Beurling's theorem for the Hardy operator on
Jim Agler, John E. McCarthy
We prove that the invariant subspaces of the Hardy operator on are the spaces that are limits of sequences of finite dimensional spaces spanned by monomial functions.
The Hardy-Weyl algebra
Jim Agler, John E. McCarthy
We study the algebra generated by the Hardy operator and the operator of multiplication by on . We call the Hardy-Weyl algebra.…
Monomial Operators
Jim Agler, John E. McCarthy
We study monomial operators on , that is bounded linear operators that map each monomial to a multiple of for some . We show that they are all unita…