Polynomially Isometric Matrices in Low Dimensions

DOI10.1080/00029890.2021.1898872OpenAlexW3172275634MaRDI QIDQ4991613

Alberto A. Condori, Nicholas Seguin, Cara D. Brooks

Publication date: 3 June 2021

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.00169

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Spectrum, resolvent (47A10) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56)

Uses Software

• Eigtool

Cites Work

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• Pseudospectra do not determine norm behavior, even for matrices with only simple eigenvalues
• Identical pseudospectra of any geometric multiplicity
• Invariant subspaces in the theory of operators and theory of functions
• Unitary similarity of matrices with quadratic minimal polynomials
• Eine minimale Polynomialbasis unitärer Invarianten einer quadratischen Matrix dritter Ordnung
• Handbook of Linear Algebra
• Linear Algebra Done Right
• Pseudospectra and matrix behaviour
• Super-identical pseudospectra
• A Resolvent Criterion for Normality
• Operators polynomially isometric to a normal operator
• On the Closure of the Numerical Range of an Operator
• A Complete Set of Unitary Invariants for 3 × 3 Complex Matrices

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