2 papers
math.FA2001
On free resolutions in multivariable operator theory
Devin C. V. Greene
We define the notion of a free resolution of a d-tuple of mutually commuting operators acting on a Hilbert space H, and that this invariant gives rise to a…
math.FA2001
The Structure of Inner Multipliers on Spaces with Complete Nevanlinna Pick Kernels
Devin Greene, Stefan Richter, Carl Sundberg
We establish some multivariate generalizations of the Beurling-Lax-Halmos theorem.