When is zero in the numerical range of a composition operator?

DOI10.1007/BF01193669zbMath1038.47018OpenAlexW2001333537MaRDI QIDQ1865902

Paul S. Bourdon, Joel H. Shapiro

Publication date: 2002

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01193669

zbMATH Keywords

Hardy spaceChebyshev polynomialsnumerical rangecomposition operatorssectorial operatorsfixed-pointsPascal matrix

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Numerical range, numerical radius (47A12) Linear composition operators (47B33)

Related Items (18)

Some properties of composition-differentiation operators ⋮ On the numerical ranges of composition operators induced by mappings with the Denjoy-Wolff point on the boundary ⋮ On the self-inverse operators ⋮ Numerical range of weighted composition operators on the Fock space ⋮ Unnamed Item ⋮ Problems on Weighted and Unweighted Composition Operators ⋮ Numerical range of composition operators on a Hilbert space of Dirichlet series. ⋮ The numerical range of finite order elliptic automorphism composition operators ⋮ Numerical range and compactness of some composition operators on a Hilbert space of Dirichlet series ⋮ The numerical range of \(C^*_\psi C_\varphi\) and \(C_\varphi C^*_\psi\) ⋮ Numerical ranges of normal weighted composition operators on the Fock space of \(\mathbb{C}^N\) ⋮ Numerical ranges of weighted composition operators ⋮ Numerical ranges of normal weighted composition operators on \(\ell^2(\mathbb N)\) ⋮ Numerical ranges of weighted composition operators ⋮ Curves of geodesic centers and Poncelet ellipses ⋮ The numerical range of a composition operator with conformal automorphism symbol ⋮ The numerical ranges of automorphic composition operators ⋮ Numerical ranges of sum of two weighted composition operators on the Hardy space H^2

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• The numerical ranges of automorphic composition operators
• Über den numerischen Wertebereich eines Operators
• 3338. Pascal matrices
• Composition Operators
• The Toeplitz-Hausdorff Theorem Explained
• On the Numerical Range of Compact Operators on Hilbert Spaces
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