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arXiv · 1912.05954

Decomposing algebraic m-isometric tuples

Trieu Le
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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.

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Trieu Le. 2019-12-12. Decomposing algebraic m-isometric tuples. https://arxiv.org/abs/1912.05954

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