The spectra of linear fractional composition operators on weighted Dirichlet spaces

DOI10.1016/j.jfa.2016.03.014zbMath1344.47020OpenAlexW2338594881MaRDI QIDQ290603

Riikka Schroderus, Eva A. Gallardo-Gutiérrez

Publication date: 3 June 2016

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

Full work available at URL: https://doi.org/10.1016/j.jfa.2016.03.014

zbMATH Keywords

spectrumcomposition operatorweighted Dirichlet spaces

Mathematics Subject Classification ID

Dirichlet forms (31C25) Linear composition operators (47B33)

Related Items (11)

Model spaces invariant under composition operators ⋮ Slice regular weighted composition operators ⋮ Spectra of linear fractional composition operators on the Hardy and weighted Bergman spaces of the half-plane ⋮ Universal composition operators on weighted Dirichlet spaces ⋮ Composition operators with universal translates on \({S^2}(\mathbb{D})\) ⋮ Dynamics and spectra of composition operators on the Schwartz space ⋮ Spectra of some weighted composition operators on dual Banach spaces of analytic functions ⋮ Weighted composition operators on Fock spaces and their dynamics ⋮ Spectra of weighted composition operators on analytic function spaces ⋮ On Universal Operators and Universal Pairs ⋮ SPECTRA OF LINEAR FRACTIONAL COMPOSITION OPERATORS ON THE GROWTH SPACE AND BLOCH SPACE OF THE UPPER HALF-PLANE

Cites Work

• The spectrum of an interpolated operator and analytic multivalued functions
• Weighted composition operators on the Dirichlet space: boundedness and spectral properties
• The spectra of composition operators on H\(^p\)
• Composition operators and classical function theory
• Relating composition operators on different weighted Hardy spaces
• The spectra of composition operators from linear fractional maps acting upon the Dirichlet space
• Spectra of weighted composition operators with automorphic symbols
• Angular Derivatives and Compact Composition Operators on the Hardy and Bergman Spaces
• Spectra of Compact Composition Operators
• The role of the spectrum in the cyclic behavior of composition operators
• Composition Operators
• Invertible weighted composition operators
• Spectral theory of linear operators and spectral systems in Banach algebras
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