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Disjoint hypercyclic linear fractional composition operators

open access: yesJournal of Mathematical Analysis and Applications, 2011
The first and the third authors are supported in part by MICINN and FEDER, Projects MTM2007-64222 and MTM2010-14909. The third author is also supported by Generalitat Valenciana, Project PROMETEO/2008/101. We thank the referees for their comments and suggestions.
Özgur Martin, Alfred Peris, Juan Bes
exaly   +5 more sources

Adjoints of linear fractional composition operators on the Dirichlet space

open access: yesMathematische Annalen, 2003
Let \(T\) be an open unit disc on the complex plane and \(\mathcal{D}\) the Dirichlet space of functions analytic on \(T\) equipped with the norm defined by \[ \| f\| ^2=| f(0)| ^2+\int\limits_T| f^\prime(z)| ^2\,dA(z). \] The authors study the adjoints of the composition operators \(C_\varphi f= f\circ \varphi\) with a fractional linear function ...
Gallardo-Gutiérrez, Eva A.   +1 more
exaly   +4 more sources
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Linear Combinations of Composition Operators on the Fock-Sobolev Spaces

Potential Analysis, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hyungwoon Koo   +2 more
exaly   +3 more sources

Linear Combination of Composition Operators on Bergman and Korenblum Spaces

Potential Analysis, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guo, Xin, Wang, Maofa
openaire   +2 more sources

Linear fractional composition operators on H2

Integral Equations and Operator Theory, 1988
Let \(\phi\) be an analytic function mapping the unit disk D into itself. The composition operator \(C_{\phi}\) on \(H_ 2\) is defined by \(C_{\phi}f=f\circ \phi\). In this paper the author studies such composition operators when \(\phi\) is a linear fractional transformation.
Carl C Cowen
exaly   +2 more sources

On the Composition and Decomposition of Positive Linear Operators (V)

Results in Mathematics, 2010
This note discusses the indecomposability and decomposability of certain operators occurring frequently in approximation theory: piecewise linear interpolation and Bernsteintype operators. The second topic includes the central (absolute) moments of the composition of two operators and their asymptotic behavior.
Heiner Gonska, Ioan Raşa
openaire   +3 more sources

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 \(y\in X\).
Francesco Altomare
exaly   +3 more sources

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