Decomposing algebraic m-isometric tuples
arXiv:1912.05954
Abstract
We show that any m-isometric tuples of commuting operators on a finite dimensional Hilbert space can be decomposed as a sum of a spherical isometry and a commuting nilpotent tuple. Our approach applies as well to tuples of algebraic operators that are hereditary roots of polynomials in several variables.
17 pages, to appear in Journal of Functional Analysis