Spectra and essential spectral radii of composition operators on weighted Banach spaces of analytic functions

DOI10.1016/j.jmaa.2007.09.006zbMath1138.47017OpenAlexW1990726142MaRDI QIDQ2470484

Pablo Galindo, José Bonet, Mikael Lindström

Publication date: 14 February 2008

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.2007.09.006

zbMATH Keywords

spectrumcomposition operatorsessential spectral radiusweighted Bergman spaces of infinite orderKoenigs eigenfunction

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Spaces of bounded analytic functions of one complex variable (30H05) Linear operators on function spaces (general) (47B38) Linear composition operators (47B33) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (10)

Königs eigenfunction for composition operators on Bloch and \(H^\infty\) type spaces ⋮ Eigenvalues and spectra of composition operators acting on weighted Bergman spaces of infinite order on the unit polydisk ⋮ Spectral properties of weighted composition operators on Hol(\mathbb{D}) induced by rotations ⋮ A note on the spectrum of some composition operators on Korenblum type spaces ⋮ Spectra of weighted composition operators on analytic function spaces ⋮ Ergodic properties of composition operators on Banach spaces of analytic functions ⋮ SPECTRA OF LINEAR FRACTIONAL COMPOSITION OPERATORS ON THE GROWTH SPACE AND BLOCH SPACE OF THE UPPER HALF-PLANE ⋮ Weighted Banach spaces of analytic functions with sup-norms and operators between them: a survey ⋮ Spectra of weighted composition operators on algebras of analytic functions on banach spaces ⋮ Denjoy-Wolff theory and spectral properties of weighted composition operators on \(\text{Hol}(\mathbb{D})\)

Cites Work

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• The Hardy class of geometric models and the essential spectral radius of composition operators
• The essential norms and spectra of composition operators on \(H^ \infty\).
• Spectra of composition operators on the Bloch and Bergman spaces
• The spectra of composition operators on H\(^p\)
• Essential angular derivatives and maximum growth of Koenigs eigenfunctions
• Composition operators and classical function theory
• Spectra of some composition operators
• The Hardy class of Koenigs maps
• Spectra of weighted composition operators on weighted Banach spaces of analytic functions
• The spectra of endomorphisms of the disc algebra
• Essential Norm and Weak Compactness of Composition Operators on Weighted Banach Spaces of Analytic Functions
• Weighted Composition Operators on Weighted Banach Spaces of Analytic Functions
• Sets of interpolation and sampling for weighted Banach spaces of holomorphic functions
• On Weighted Spaces of Harmonic and Holomorphic Functions

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