Decomposing algebraic m-isometric tuples

2019/12/12 by Trieu Le, Le, Trieu · 1 citation
Mathematics · #Advanced Topics in Algebra #Algebraic and Geometric Analysis #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.1912.05954

openalex publication_date 2019/12/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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