In Koenigs' footsteps: diagonalization of composition operators

DOI10.1016/j.jfa.2019.108313zbMath1436.30049arXiv1903.04990OpenAlexW2977009313MaRDI QIDQ2007965

Isabelle Chalendar, B. Célariès, Wolfgang Arendt

Publication date: 22 November 2019

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.04990

zbMATH Keywords

spectrumcomposition operatorsBanach spaces of holomorphic functionsFréchet space of holomorphic functions

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Linear composition operators (47B33) Spaces and algebras of analytic functions of one complex variable (30H99)

Related Items (6)

Spectral properties of weighted composition operators on Hol(\mathbb{D}) induced by rotations ⋮ Difference of composition operators on some analytic function spaces ⋮ A note on the spectrum of some composition operators on Korenblum type spaces ⋮ A note about the spectrum of composition operators induced by a rotation ⋮ Weighted Banach spaces of analytic functions with sup-norms and operators between them: a survey ⋮ Denjoy-Wolff theory and spectral properties of weighted composition operators on \(\text{Hol}(\mathbb{D})\)

Cites Work

• Kaplansky's and Michael's problems: a survey
• Composition operators on small weighted Hardy spaces
• The essential norms and spectra of composition operators on \(H^ \infty\).
• Spectra of composition operators on the Bloch and Bergman spaces
• The essential norm of a composition operator
• The spectra of composition operators on H\(^p\)
• Composition operators and classical function theory
• Spectra of some composition operators
• Relating composition operators on different weighted Hardy spaces
• The Hardy class of Koenigs maps
• A commutativity theorem for prespectral operators
• Mean growth of Koenigs eigenfunctions
• Asymptotic behavior of the powers of composition operators on Banach spaces of holomorphic functions
• POWERS OF COMPOSITION OPERATORS: ASYMPTOTIC BEHAVIOUR ON BERGMAN, DIRICHLET AND BLOCH SPACES
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