38 citations · 253 across the 49 of their papers we have counts for
35 papers · 1 filter
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…
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.
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…
A generalization of Hardy's operator and an asymptotic Muntz-Szasz Theorem
Jim Agler, John E. McCarthy
The Hardy operator has all the monomial functions as eigenvectors. We study bounded operators on L^2 that take monomial functions to multiples of other monomials, with a shifted ex…
Free outer functions in complete Pick spaces
Alexandru Aleman, Michael Hartz, John E. McCarthy +1
Jury and Martin establish an analogue of the classical inner-outer factorization of Hardy space functions. They show that every function in a Hilbert function space with a norm…
The common range of co-analytic Toeplitz operators on the Drury-Arveson space
Alexandru Aleman, Michael Hartz, John E. McCarthy +1
We characterize the common range of the adjoints of cyclic multiplication operators on the Drury--Arveson space. We show that a function belongs to this common range if and only if…