Results 11 to 20 of about 392,532 (306)
Binormal and complex symmetric weighted composition operators on the Fock Space over $\mathbb{C}$
Математичні Студії, 2023 In this paper, we give simple characterization of binormal weighted composition operators $C_{\psi, \phi}$ on the Fock space over $\mathbb{C}$ where weight function is of the form $\psi(\zeta) = e^{\langle \zeta, c \rangle}$ for some $c \in \mathbb{C ...
C. Santhoshkumar
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Hilbert-Schmidtness of weighted composition operators and their differences on Hardy spaces [PDF]
Opuscula Mathematica, 2020 Let \(u\) and \(\varphi\) be two analytic functions on the unit disk \(\mathbb{D}\) such that \(\varphi(\mathbb{D}) \subset \mathbb{D}\). A weighted composition operator \(uC_{\varphi}\) induced by \(u\) and \(\varphi\) is defined on \(H^2\), the Hardy ...
Ching-on Lo, Anthony Wai-keung Loh
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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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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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Weighted composition operators on Hardy–Smirnov spaces
Concrete Operators, 2022 Operators of type f → ψf ◦ φ acting on function spaces are called weighted composition operators. If the weight function ψ is the constant function 1, then they are called composition operators.
Matache Valentin
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Fredholm composition operators [PDF]
Proceedings of the American Mathematical Society, 1980 In this paper a necessary and sufficient condition for a composition operator C T {C_T} on L 2 [ 0 , 1 ] {L^2}[0,1] to be a Fredholm operator is given.
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Isometric multiplication operators and weighted composition operators of BMOA
Journal of Inequalities and Applications, 2021 Let u be an analytic function in the unit disk D $\mathbb{D}$ and φ be an analytic self-map of D $\mathbb{D}$ . We give characterizations of the symbols u and φ for which the multiplication operator M u $M_{u}$ and the weighted composition operator M u ,
Ligang Geng
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Some new properties of composition operators associated with lens maps [PDF]
, 2012 We give examples of results on composition operators connected with lens maps. The first two concern the approximation numbers of those operators acting on the usual Hardy space $H^2$.
Lefèvre, Pascal +3 more
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Compact composition operators on Bergman-Orlicz spaces [PDF]
, 2010 We construct an analytic self-map $\phi$ of the unit disk and an Orlicz function $\Psi$ for which the composition operator of symbol $\phi$ is compact on the Hardy-Orlicz space $H^\Psi$, but not compact on the Bergman-Orlicz space ${\mathfrak B}^\Psi ...
Lefèvre, Pascal +3 more
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