68 citations · 141 across the 19 of their papers we have counts for
6 papers · 1 filter
A Constrained Nevanlinna-Pick Interpolation Problem
Kenneth R. Davidson, Vern I. Paulsen, Mrinal Raghupathi +1
We obtain necessary and sufficient conditions for Nevanlinna-Pick interpolation on the unit disk with the additional restriction that all analytic interpolating functions satisfy $…
Semicrossed products of simple C*-algebras
Kenneth R. Davidson, Elias G. Katsoulis
Let $(\A, α)$ and $(\B, β)$ be C*-dynamical systems and assume that $\A$ is a separable simple C*-algebra and that and are *-automorphisms. Then the semicrossed products $\…
Transitive spaces of operators
K. R. Davidson, L. W. Marcoux, H. Radjavi
We investigate algebraic and topological transitivity and, more generally, k-transitivity for linear spaces of operators. In finite dimensions, we determine minimal dimensions of k…
On the topological stable rank of non-selfadjoint operator algebras
K. R. Davidson, R. Levene, L. W. Marcoux +1
We provide a negative solution to a question of M. Rieffel who asked if the right and left topological stable ranks of a Banach algebra must always agree. Our example is found amon…
Dilation Theory for Rank 2 Graph Algebras
Kenneth R. Davidson, Stephen C. Power, Dilian Yang
An analysis is given of -representations of rank 2 single vertex graphs. We develop dilation theory for the non-selfadjoint algebras $\A_θ$ and $\A_u$ which are associated with…
Atomic Representations of Rank 2 Graph Algebras
Kenneth R. Davidson, Stephen C. Power, Dilian Yang
We provide a detailed analysis of atomic *-representations of rank 2 graphs on a single vertex. They are completely classified up to unitary equivalence, and decomposed into a dire…