Results 1 to 10 of about 54,827 (267)
Cyclic Composition operators on Segal-Bargmann space
Concrete Operators, 2022 We study the cyclic, supercyclic and hypercyclic properties of a composition operator Cϕ on the Segal-Bargmann space ℋ(ℰ), where ϕ(z) = Az + b, A is a bounded linear operator on ℰ, b ∈ ℰ with ||A|| ⩽ 1 and A*b belongs to the range of (I – A*A)½ ...
Ramesh G. +2 more
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Approximation and entropy numbers of composition operators
Concrete Operators, 2020 We give a survey on approximation numbers of composition operators on the Hardy space, on the disk and on the polydisk, and add corresponding new results on their entropy numbers, revealing how they are different.
Li Daniel +2 more
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Bulletin of the Australian Mathematical Society, 1978 A study of centered composition operators on l2 is made in this paper. Also the spectrum of surjective composition operators is computed. A necessary and sufficient condition is obtained for the closed unit disc to be the spectrum of a surjective composition operator.
Singh, R. K., Komal, B. S.
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Composition Operators on Classical Spaces of Analytic Functions [PDF]
Sahand Communications in Mathematical AnalysisWe shall provide a brief account on new achievements in the study of composition and composition-differentiation operators acting on classical spaces of analytic functions on the unit disk, as well as on the polydisk and the unit ball.
Ali Abkar
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Hypercyclicity of Composition Operators on Orlicz Function Spaces
Moroccan Journal of Pure and Applied Analysis, 2020 In this paper, we discuss the hypercyclic properties of composition operators on Orlicz function spaces. We give some different conditions under which a composition operator on Orlicz spaces is hyper-cyclic or not. Similarly, multiplication operators are
Jafari F., Kamali Z.
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Mathematics, 2021 Let N denote the set of all positive integers and N0=N∪{0}. For m∈N, let Bm={z∈Cm:|z|
Manisha Devi +2 more
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Antinormal Weighted Composition Operators [PDF]
Abstract and Applied Analysis, 2016 Letl2=L2N,μ, whereNis set of all positive integers andμis the counting measure whoseσ-algebra is the power set ofN. In this paper, we obtain necessary and sufficient conditions for a weighted composition operator to be antinormal on the Hilbert spacel2. We also determine a class of antinormal weighted composition operators on Hardy spaceH2D.
Dilip Kumar, Harish Chandra
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Composition operator induced by ?(z) = sz + t for which |s|?1, |t|<1 and |s|+|t|?1
مجلة بغداد للعلوم, 2010 We study in this paper the composition operator that is induced by ?(z) = sz + t. We give a characterization of the adjoint of composiotion operators generated by self-maps of the unit ball of form ?(z) = sz + t for which |s|?1, |t|
Baghdad Science Journal
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Subnormal composition operators [PDF]
Proceedings of the American Mathematical Society, 1988 Let C C be the composition operator on L 2 ( X , Σ , m ) {L^2}(X,\Sigma ,m) given by C f = f ∘ T Cf = f \circ T , where T T is a Σ
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Completely Continuous Composition Operators [PDF]
Transactions of the American Mathematical Society, 1994 Summary: A composition operator \(T_ b f= f\circ b\) is completely continuous on \(H^ 1\) if and only if \(| b|< 1\) a.e. If the adjoint operator \(T^*_ b\) is completely continuous on VMOA, then \(T_ b\) is completely continuous on \(H^ 1\). Examples are given to show that the converse fails in general.
Cima, Joseph A., Matheson, Alec
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