Polygons and Numerical Ranges
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Publication:2757488
DOI10.2307/2589348zbMath0985.51016OpenAlexW4248417680MaRDI QIDQ2757488
Publication date: 26 November 2001
Full work available at URL: https://doi.org/10.2307/2589348
numerical rangedilatationPoncelet's closure theoremgeometry of polynomialscompletely nonunitary contraction
Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Numerical range, numerical radius (47A12) Affine analytic geometry (51N10) Projective analytic geometry (51N15)
Related Items (19)
Numerical range of a normal compression. II ⋮ Ellipses and compositions of finite Blaschke products ⋮ Numerical ranges of reducible companion matrices ⋮ Poncelet's theorem, Sendov's conjecture, and Blaschke products ⋮ Complex Formulation of Poncelet Property in Numerical Range ⋮ Poncelet's porism in the finite real plane ⋮ Poncelet-Darboux, Kippenhahn, and Szegő: interactions between projective geometry, matrices and orthogonal polynomials ⋮ Poncelet's theorem, paraorthogonal polynomials and the numerical range of compressed multiplication operators ⋮ Explicit solutions to Poncelet's porism ⋮ Inscribed ellipses and Blaschke products ⋮ Short cycles of Poncelet's conics ⋮ Numerical ranges of \(C_{0}(N)\) contractions ⋮ The Toeplitz-Hausdorff theorem revisited: Relating linear algebra and geometry ⋮ Decomposing finite Blaschke products ⋮ Numerical range circumscribed by two polygons ⋮ A characterization of complex plane Poncelet curves ⋮ Four Theorems with Their Foci on Ellipses ⋮ UB-matrices and conditions for Poncelet polygon to be closed ⋮ Numerical Ranges of Operators of Class C0
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