3 papers
math.FA2011
Pick interpolation in several variables
Ryan Hamilton
We investigate the Pick problem for the polydisk and unit ball using dual algebra techniques. Some factorization results for Bergman spaces are used to describe a Pick theorem for…
math.FA2011
The Toeplitz corona problem for algebras of multipliers on a Nevanlinna-Pick space
Ryan Hamilton, Mrinal Raghupathi
Suppose $\fA$ is an algebra of operators on a Hilbert space and $A_1,..., A_n \in \fA$. If the row operator has a right inverse in $B(H, H^{(n…
math.FA2010
Nevanlinna-Pick Interpolation and Factorization of Linear Functionals
Kenneth R. Davidson, Ryan Hamilton
If $\fA$ is a unital weak- closed algebra of multiplication operators on a reproducing kernel Hilbert space which has the property $\bA_1(1)$, then the cyclic invariant subspace…