Ellipses and compositions of finite Blaschke products

DOI10.1016/j.jmaa.2016.01.067zbMath1354.30053OpenAlexW2259463818MaRDI QIDQ313522

Pamela Gorkin, Nathan A. Wagner

Publication date: 12 September 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.01.067

zbMATH Keywords

numerical rangeBlaschke productPoncelet curve

Mathematics Subject Classification ID

Numerical range, numerical radius (47A12) Blaschke products (30J10)

Related Items (12)

Reducibility of the ternary forms of unitary bordering matrices ⋮ Interior and exterior curves of finite Blaschke products ⋮ 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 ⋮ Blaschke products and circumscribed conics ⋮ Decomposable Blaschke products of degree 2ⁿ ⋮ Numerical range and compressions of the shift ⋮ Quotients of kernel functions and post-composition ⋮ Möbius transformations and Blaschke products: the geometric connection ⋮ On partial isometries with circular numerical range ⋮ On foci of ellipses inscribed in cyclic polygons ⋮ Norms of truncated Toeplitz operators and numerical radii of restricted shifts

Cites Work

• The numerical range of \(3 \times 3\) matrices
• Poncelet's theorem, Sendov's conjecture, and Blaschke products
• Numerical range and Poncelet property.
• Numerical range circumscribed by two polygons
• Condition for the numerical range to contain an elliptic disc
• Numerical range. The field of values of linear operators and matrices
• Inscribed ellipses and Blaschke products
• Polygons and Numerical Ranges
• Poncelet Porisms and Beyond
• How Conics Govern Mobius Transformations
• Ellipses and Finite Blaschke Products
• Über den Wertevorrat einer Matrix

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