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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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Weighted composition operators in functional Banach spaces: an axiomatic approach [PDF]
, 2020 We work with very general Banach spaces of analytic functions in the disk or other domains which satisfy a minimum number of natural axioms. Among the preliminary results, we discuss some implications of the basic axioms and identify all functional ...
Arévalo, Irina, Vukotić, Dragan
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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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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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Eigen Neutrosophic Z- Set and Neutrosophic Z- Relation [PDF]
Neutrosophic Sets and SystemsThis paper introduces an innovative framework for computing the Greatest Eigen Neutrosophic Z-set and the Least Eigen Neutrosophic Z-set using the composition operators, namely max-min-min and min-max-max.
P. Sheeba Maybell, M. M. Shanmugapriya
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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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Approximation numbers of weighted composition operators [PDF]
, 2016 We study the approximation numbers of weighted composition operators $f\mapsto w\cdot(f\circ\varphi)$ on the Hardy space $H^2$ on the unit disc. For general classes of such operators, upper and lower bounds on their approximation numbers are derived. For
Lechner, Gandalf +3 more
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M-quasi-hyponormal composition operators
International Journal of Mathematics and Mathematical Sciences, 1987 A necessary and sufficient condition is obtained for M-quasi-hyponormal composition operators. It has also been proved that the class of M-quasi-hyponormal composition operators coincides with the class of M-paranormal composition operators. Existence of
Pushpa R. Suri, N. Singh
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