The numerical ranges of automorphic composition operators

DOI10.1006/jmaa.2000.7072zbMath1048.47014OpenAlexW2031187999MaRDI QIDQ1593776

Paul S. Bourdon, Joel H. Shapiro

Publication date: 11 October 2001

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

Full work available at URL: https://semanticscholar.org/paper/9fc02e515a46186ed2780f7b9712e19bfbb6d308

zbMATH Keywords

numerical rangecomposition operatorsparabolic, elliptic and hyperbolic automorphisms

Mathematics Subject Classification ID

Numerical range, numerical radius (47A12) Linear composition operators (47B33)

Related Items (19)

Hypercyclic property of weighted composition operators ⋮ On the self-inverse operators ⋮ Numerical range of weighted composition operators on the Fock space ⋮ Decomposition for a composition operator ⋮ Numerical ranges of composition operators with elliptic automorphism symbols ⋮ Numerical ranges of cube roots of the identity ⋮ 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 ⋮ Symmetric numerical ranges of four-by-four matrices ⋮ 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 ⋮ The numerical range of a composition operator with conformal automorphism symbol ⋮ Selfcommutators of automorphic composition operators ⋮ When is zero in the numerical range of a composition operator? ⋮ Numerical ranges of sum of two weighted composition operators on the Hardy space H^2

Cites Work

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• Subnormality and composition operators on \(H^ 2\)
• Composition operators and classical function theory
• What do composition operators know about inner functions?
• When is zero in the numerical range of a composition operator?
• Subordinate \(H^ P\) functions
• Composition Operators
• The Toeplitz-Hausdorff Theorem Explained
• Numerical ranges of composition operators

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