Determinantal polynomials of a weighted shift matrix with palindromic geometric weights

DOI10.7153/oam-2022-16-24OpenAlexW4285261428MaRDI QIDQ5882468

Undrakh Batzorig

Publication date: 16 March 2023

Published in: Operators and Matrices (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/oam-2022-16-24

zbMATH Keywords

numerical rangeweighted shift matricespalindromic geometric weights

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Numerical range, numerical radius (47A12) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10)

Related Items (3)

Determinantal polynomials of weighted shift matrices with palindromic harmonic weights ⋮ Determinantal polynomials of some weighted shift matrices with palindromic weights ⋮ Numerical radii of weighted shift matrices with palindromic weights using determinantal polynomials

Cites Work

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• Numerical ranges of weighted shifts
• Weighted shift matrices: unitary equivalence, reducibility and numerical ranges
• On the numerical range of some weighted shift matrices and operators
• Determinantal polynomials of a weighted shift operator
• On the numerical range of the weighted shift operators with geometric and harmonic weights
• The Numerical Range of a Weighted Shift
• The numerical radius of a weighted shift operator with geometric weights
• The numerical radius of a weighted shift operator
• Numerical Range of a Weighted Shift with Periodic Weights
• The numerical radii of weighted shift matrices and operators
• Mapping Theorems for the Numerical Range

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