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Composition operator induced by φ(z) = sz + t for which |s|≤1, |t|<1 and |s|+|t|≤1 | ||
| Baghdad Science Journal | ||
| Article 1, Volume 7, Issue 3, 2010, Pages 1266-1269 | ||
| Author | ||
| Samira Naji Kadhim | ||
| Abstract | ||
| We study in this paper the composition operator that is induced by φ(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 studied the compactness of Cφ and give some other partial results. | ||
| Keywords | ||
| composition operator; toeplitz operator; compact operator | ||
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