Complex symmetric weighted composition operators on $H^2({\Bbb D})$
2014.07.24 14:22
| 실적년도 | 2014년 |
|---|---|
| 논문구분 | 국외 |
| 총저자 | 고응일, 정성은, 김연하, 이지은 |
| 학술지명 | Journal of Functional Analysis |
| 권(Vol.) | 267 |
| 호(No.) | 2 |
| 게재년월 | 2014년 7월 |
| Impact Factor | |
| SCI 등재 | |
| 비고 |
In this paper we study complex symmetric weighted composition operators on the Hardy space. We provide some characterizations of $\psi$ and $\varphi$ when a weighted composition operator $W_{\psi,\varphi}$ is complex symmetric. We investigate which combinations of weights $\psi$ and maps of the open unit disk $\varphi$ give rise to complex symmetric weighted composition operators with a special conjugation. As some applications, we obtain several examples for nonnormal complex symmetric operators. In addition, we give spectral properties of complex symmetric
weighted composition operators. We examine eigenvalues and eigenvectors of such operators and find some conditions for which a complex symmetric weighted composition operator is Hilbert–Schmidt. Finally, we consider cyclicity, hypercyclicity, and the single-valued extension property for complex symmetric weighted composition operators.
