A note about the spectrum of composition operators induced by a rotation

DOI10.1007/s13398-020-00788-5OpenAlexW2999960171MaRDI QIDQ2293225

José Bonet

Publication date: 7 February 2020

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.03613

zbMATH Keywords

rotationcomposition operatorspace of analytic functionsDiophantine number

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Linear composition operators (47B33) Diophantine approximation in probabilistic number theory (11K60)

Related Items (3)

Spectral properties of weighted composition operators on Hol(\mathbb{D}) induced by rotations ⋮ Weighted composition operators on Korenblum type spaces of analytic functions ⋮ Weighted Banach spaces of analytic functions with sup-norms and operators between them: a survey

Cites Work

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• A note on mean ergodic composition operators on spaces of holomorphic functions
• Complex dynamics
• Composition operators and classical function theory
• Spectra of weighted composition operators on abstract Hardy spaces
• Spectra of weighted composition operators on weighted Banach spaces of analytic functions
• In Koenigs' footsteps: diagonalization of composition operators
• Montel resolvents and uniformly mean ergodic semigroups of linear operators
• Operator Theoretic Aspects of Ergodic Theory
• Diophantine Approximation and Dirichlet Series

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