Composition operator induced by ?(z) = sz + t for which |s|?1, |t|

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Samira Naji Kadhim

Abstract

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|<1 and |s|+|t|?1. In fact we prove that the adjoint is a product of toeplitz operators and composition operator. Also, we have studied the compactness of C? and give some other partial results.

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Composition operator induced by ?(z) = sz + t for which |s|?1, |t|. Baghdad Sci.J [Internet]. 2010 Sep. 5 [cited 2024 Mar. 28];7(3):1266-9. Available from: https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/1099
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How to Cite

1.
Composition operator induced by ?(z) = sz + t for which |s|?1, |t|. Baghdad Sci.J [Internet]. 2010 Sep. 5 [cited 2024 Mar. 28];7(3):1266-9. Available from: https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/1099

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