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Joint hyponormality of composition operators with linear fractional symbols

Integral Equations and Operator Theory, 2002
Continuing the work of Cowen and Kriete, the author studies joint hyponormality and joint subnormality of \(n\)-tuples of commuting composition operators with linear fractional symbols, acting on the Hardy space \(H^2\). He presents conditions to ensure that an \(n\)-tuple is jointly subnormal if and only if it is jointly hyponormal.
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Linear combinations of composition operators on weighted Dirichlet spaces

Wuhan University Journal of Natural Sciences, 2015
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Representing Invertible Linear Differential Operators as the Composition of Triangular Ones

Differential Equations, 2021
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A Left Linear Weighted Composition Operator on Quaternionic Fock Space

Results in Mathematics, 2019
The work under review deals with some interesting properties of boundedness and compactness for a left linear weighted composition operator on slice regular quaternionic Fock space. Also, equivalent conditions for self-adjoint weighted operators and isometric weighted composition operators are considered.
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Characterizations of binormal composition operators with linear fractional symbols on H2

Applied Mathematics and Computation, 2015
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Jung, Sungeun, Kim, Yoenha, Ko, Eungil
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On the convergence of sequences of positive linear operators towards composition operators

Banach Journal of Mathematical Analysis
Let \(F(X)\) be the linear space of real-valued functions on a metric space \((X,d)\), \(C_b(X)\) be the space of continuous bounded real-valued functions on \(X\), \(\left (d_x(\cdot)\right)_{x\in X}\) be a family of functions in \(F(X)\) such that for each \(x\in X\), we have \(d_x(y)=d(x,y)\) for \(y\in X\).
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Compact linear combinations of composition operators on the unit ball

Acta Mathematica Scientia
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Dong, Chunyu, Guo, Xin, Kang, Qijian
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