Lucas' theorem refined∗

DOI10.1080/03081089908818600zbMath0942.15019OpenAlexW1976275054MaRDI QIDQ4264449

Pei Yuan Wu, Hwa-Long Gau

Publication date: 14 August 2000

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081089908818600

zbMATH Keywords

numerical rangedilationBlaschke productLucas' theoremcompression of the shiftcompletely nonunitary contractions

Mathematics Subject Classification ID

Related Items (22)

Numerical range of a normal compression. II ⋮ Numerical ranges of reducible companion matrices ⋮ Poncelet's theorem, Sendov's conjecture, and Blaschke products ⋮ Numerical Range of a Normal Compression ⋮ Poncelet's porism in the finite real plane ⋮ Poncelet's theorem, paraorthogonal polynomials and the numerical range of compressed multiplication operators ⋮ Finite Blaschke products of contractions ⋮ Flat portions of the numerical range of a \(6 \times 6\) companion matrix ⋮ Decomposable Blaschke products of degree 2ⁿ ⋮ Operators with real parts at least ⋮ Structures and numerical ranges of power partial isometries ⋮ Unnamed Item ⋮ Extremality of numerical radii of tensor products of matrices ⋮ Lucas' theorem and numerical range ⋮ Unitary part of a contraction ⋮ Circular numerical ranges of partial isometries ⋮ Inner functions of numerical contractions ⋮ Zero-dilation Index of S_n-matrix and Companion Matrix ⋮ Numerical range circumscribed by two polygons ⋮ A characterization of complex plane Poncelet curves ⋮ Four Theorems with Their Foci on Ellipses ⋮ Numerical Ranges of Operators of Class C₀

Cites Work

• Numerical range ofs(φ)
• Dilation to inflations of s(φ)

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