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

Main Article Content

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.

Article Details

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 Dec. 1];7(3):1266-9. Available from: https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/1099
Section
article

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 Dec. 1];7(3):1266-9. Available from: https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/1099

Similar Articles

You may also start an advanced similarity search for this article.