컨텐츠 시작
학술대회/행사
초록검색
| 제출번호(No.) | 0493 |
|---|---|
| 분류(Section) | Contributed Talk |
| 분과(Session) | Functional Analysis and Applications (SS-09) |
| 영문제목 (Title(Eng.)) |
Characterizations of binormal composition operators with linear fractional symbols on $H^{2}$ |
| 저자(Author(s)) |
Yoenha Kim1, Eungil Ko1, Sungeun Jung1 Ewha Womans University1 |
| 초록본문(Abstract) | For an analytic function $\varphi:{\Bbb D}\rightarrow{\Bbb D}$, the composition operator $C_{\varphi}$ is the operator on the Hardy space on $H^{2}$ defined by $C_{\varphi} f=f\circ \varphi$ for all $f$ in $H^2$. In this paper, we give necessary and sufficient conditions for the composition operator $C_{\varphi}$ to be binormal where the symbol $\varphi$ is a linear fractional selfmap of ${\Bbb D}$. Furthermore, we show that $C_{\varphi}$ is binormal if and only if it is centered when $\varphi(z)$ is an automorphism of ${\Bbb D}$ or $\varphi(z)=sz+t$, $|s|+|t|\leq1$. We also characterize several properties of binormal composition operators with linear fractional symbols on $H^2$. |
| 분류기호 (MSC number(s)) |
47B20, 47B33 |
| 키워드(Keyword(s)) | binormal, composition operator, centered |
| 강연 형태 (Language of Session (Talk)) |
English |