Numerical range and Poncelet property.
From MaRDI portal
Publication:1432832
DOI10.11650/twjm/1500575056zbMath1051.15019OpenAlexW1511429393MaRDI QIDQ1432832
Publication date: 22 June 2004
Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.11650/twjm/1500575056
Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Numerical range, numerical radius (47A12) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Curves in algebraic geometry (14H99)
Related Items
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 ⋮ Harnack parts for some truncated shifts ⋮ Singular points of the algebraic curves associated to unitary bordering matrices ⋮ Interior and exterior curves of finite Blaschke products ⋮ Finite Blaschke products and the golden ratio ⋮ 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 ⋮ A new Poncelet curve for the boundary generating curve of a numerical range ⋮ Blaschke products and circumscribed conics ⋮ Unitary similarity of the determinantal representation of unitary bordering matrices ⋮ Flat portions of the numerical range of a \(6 \times 6\) companion matrix ⋮ Numerical ranges of model operators and Clark measures ⋮ Rigidity of the numerical range of truncated shifts with isolated singularity on the unit circle ⋮ Operators with real parts at least ⋮ Determination of inner functions by their value sets on the circle ⋮ Unnamed Item ⋮ Numerical range and compressions of the shift ⋮ Crouzeix's conjecture and related problems ⋮ The numerical range of a contraction with finite defect numbers ⋮ Eigenvalue inclusion regions from inverses of shifted matrices ⋮ Numerical ranges of \(C_{0}(N)\) contractions ⋮ Decomposing finite Blaschke products ⋮ Möbius transformations and Blaschke products: the geometric connection ⋮ Curves of geodesic centers and Poncelet ellipses ⋮ Numerical range circumscribed by two polygons ⋮ Norms of truncated Toeplitz operators and numerical radii of restricted shifts ⋮ A characterization of complex plane Poncelet curves ⋮ Four Theorems with Their Foci on Ellipses ⋮ The diameter and width of numerical ranges