Decomposing algebraic m-isometric tuples
Functional Analysis
2019-12-13 v1
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.
Cite
@article{arxiv.1912.05954,
title = {Decomposing algebraic m-isometric tuples},
author = {Trieu Le},
journal= {arXiv preprint arXiv:1912.05954},
year = {2019}
}
Comments
17 pages, to appear in Journal of Functional Analysis