Title of article
Self-commutators of composition operators with monomial symbols on the Bergman space
Author/Authors
Abdollahi، A. نويسنده , , Mehrangiz، S. نويسنده Islamic Azad University , Khonj Branch , , Roientan، T. نويسنده Shiraz University ,
Issue Information
دوماهنامه با شماره پیاپی 0 سال 2015
Pages
12
From page
65
To page
76
Abstract
Let $\varphi(z)=z^m, z \in \mathbb{U}$, for some positive integer
$m$, and $C_\varphi$ be the composition operator on the Bergman
space $\mathcal{A}^2$ induced by $\varphi$. In this article, we
completely determine the point spectrum, spectrum, essential
spectrum, and essential norm of the operators $C^*_\varphi
C_\varphi, C_\varphi C^*_\varphi$ as well as self-commutator and
anti-self-commutators of $C_\varphi$. We also find the
eigenfunctions of these operators.
Journal title
Bulletin of the Iranian Mathematical Society
Serial Year
2015
Journal title
Bulletin of the Iranian Mathematical Society
Record number
2388990
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