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Spectrum of a composition operator [PDF]

Proceedings of the American Mathematical Society, 1973
A composition operator is a linear operator induced on a subspace of K X {K^X} by a point transformation ϕ \phi on a set X (where K denotes the scalar field) by the formula T f ( x ) = f ∘ ϕ ( x )
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Binormal Weighted Composition Operators on the Fock Space

Journal of Function Spaces
The aim of this paper is to obtain the sufficient and necessary conditions for weighted composition operators uCφ with φz=az+b a≤1, uz=ced¯z, where a,b,c,d∈ℂ, to be binormal or quasinormal on the Fock space F2. Surprisingly, the normality, quasinormality,
Cao Jiang, Shi-an Han
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Fixed point results on nonlinear composition operators A ∘ B $A\circ B$ and applications

Journal of Inequalities and Applications
This paper investigates a class of composition operators: the nonlinear operator T = A ∘ B $T=A\circ B$ and the sum-type operator T = A ∘ B + C $T=A\circ B+C$ , where A, B, and C are either single or bivariate operators. Here, “∘” denotes the composition
Bibo Zhou, Yiping Du
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Hermitian composition operators on Hardy-Smirnov spaces

Concrete Operators, 2017
Let Ω be an open simply connected proper subset of the complex plane and φ an analytic self map of Ω. If f is in the Hardy-Smirnov space defined on Ω, then the operator that takes f to f º φ is a composition operator.
Gunatillake Gajath
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Composition Operators on Orlicz and Bochner Spaces [PDF]

مجلة جامعة النجاح للأبحاث العلوم الطبيعية, 2001
Mahmud Masri
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The compactness of the sum of weighted composition operators on the ball algebra

Journal of Inequalities and Applications, 2011
In this paper, we investigate the compactness of the sum of weighted composition operators on the unit ball algebra, and give the characterization of compact differences of two weighted composition operators on the ball algebra.
Tong Ce-Zhong, Zhou Ze-Hua
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Operators commuting with complex symmetric weighted composition operators on H 2

Concrete Operators
In this article, we initially study when an anti-linear Toeplitz operator is in the commutant of a composition operator. Primarily, we investigate weighted composition operators Wg,ψ{W}_{g,\psi } commuting with complex symmetric weighted composition ...
Bhuia Sudip Ranjan
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Weighted composition operators

, 2012
published_or_final_version ; Mathematics ; Master ; Master of ...
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Compact differences of weighted composition operators on the weighted Bergman spaces. [PDF]

J Inequal Appl, 2017
Wang M, Yao X, Chen F.
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Composition operators on $F^{+}$ [PDF]

Studia Mathematica, 1976
Roberts, James W., Stoll, Manfred
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