Composition operator induced by φ(z) = sz + t for which |s|≤1, |t|<1 and |s|+|t|≤1

Authors

Samira Naji Kadhim

Abstract

We study in this paper the composition operator that is induced byφ(z) = sz + t. We give a characterization of the adjoint of composiotion operators generated by self-maps of the unit ball of form φ(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 studiedthe compactness of Cφand give some other partial results

Article Type

Article

How to Cite this Article

Kadhim, Samira Naji (2010) "Composition operator induced by φ(z) = sz + t for which |s|≤1, |t|<1 and>|s|+|t|≤1," Baghdad Science Journal: Vol. 7: Iss. 3, Article 25.
DOI: https://doi.org/10.21123/bsj.2010.7.3.1266-1269