The Spectra and Commutants of Some Weighted Composition Operators

DOI10.2307/2001480zbMath0712.47022OpenAlexW4232423995MaRDI QIDQ3196866

James W. Carlson

Publication date: 1990

Full work available at URL: https://doi.org/10.2307/2001480

zbMATH Keywords

essential spectrumcommutantpoint spectrumweighted composition operator

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37)

Related Items (max. 100)

Invertible weighted composition operators on weighted function spaces ⋮ A subnormal weighted shift on a directed tree whose \(n\)th power has trivial domain ⋮ Operators and Dynamical Systems on Weighted Function Spaces ⋮ \(m\)-isometric composition operators on directed graphs with one circuit ⋮ Composition operators on the space of entire functions ⋮ Numerical ranges of normal weighted composition operators on \(\ell^2(\mathbb N)\) ⋮ Analytic 𝑚-isometries without the wandering subspace property ⋮ A Shimorin-type analytic model on an annulus for left-invertible operators and applications ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Eigenvectors and spectra of some weighted composition operators on L^p spaces ⋮ A characterization of weighted composition operators

Cites Work

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• On composition operators on Banach spaces of holomorphic functions
• Quasinormal composition operators on \(\ell^2_p\)
• Inner functions and composition operators on a Hardy space
• Inner divisors and composition operators
• Quasinormal composition operators
• On unitary operators inducing measure-preserving transformations
• Fredholm Composition Operators
• Characterization of Abstract Composition Operators
• Normal and Hermitian Composition Operators
• Spectrum of a Composition Operator
• Pointwise Induced Operators on L p -Spaces
• Composition Operators Induced by Rational Functions
• Multiplication operators and composition operators with closed ranges
• Invertible Composition Operators on L 2 (λ)
• Composition operators
• Normal and Quasinormal Composition Operators
• Compact and Quasinormal Composition Operators
• Analytic Toeplitz and Composition Operators
• Composition Operators
• On Algebras Generated by Composition Operators

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