On operators which commute with analytic Toeplitz operators modulo the finite rank operators
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- by Kunyu Guo and Kai Wang PDF
- Proc. Amer. Math. Soc. 134 (2006), 2571-2576 Request permission
Abstract:
It is shown that an operator $S$ on the Hardy space $H^2({\mathbb {D}}^n)$ (or $H^2({\mathbb {B}}_n)$) commutes with all analytic Toeplitz operators modulo the finite rank operators if and only if $S=T_g+F$. Here $F$ is a finite rank operator, and in the case $n=1$, $g$ is a sum of a rational function and a bounded analytic function, and in the case $n\geq 2$, $g$ is a bounded analytic function.References
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Additional Information
- Kunyu Guo
- Affiliation: School of Mathematics, Fudan University, Shanghai, 200433, People’s Republic of China
- Email: kyguo@fudan.edu.cn
- Kai Wang
- Affiliation: School of Mathematics, Fudan University, Shanghai, 200433, People’s Republic of China
- Email: 031018009@fudan.edu.cn
- Received by editor(s): December 13, 2004
- Received by editor(s) in revised form: March 18, 2005
- Published electronically: February 17, 2006
- Communicated by: Joseph A. Ball
- © Copyright 2006
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 134 (2006), 2571-2576
- MSC (2000): Primary 47B35, 47B20
- DOI: https://doi.org/10.1090/S0002-9939-06-08259-1
- MathSciNet review: 2213734