컨텐츠 시작
학술대회/행사
초록검색
| 제출번호(No.) | 0135 |
|---|---|
| 분류(Section) | Special Session |
| 분과(Session) | (SS-10) Function Theory, Operator Theory and Applications (SS-10) |
| 발표시간(Time) | 20th-C-10:20 -- 10:40 |
| 영문제목 (Title(Eng.)) |
Toeplitz operators on the vector-valued Hardy space |
| 저자(Author(s)) |
Sumin Kim1 Sungkyunkwan University1 |
| 초록본문(Abstract) | For an operator-valued symbol $\Phi\in L^2_s(\mathbb T, \mathcal{B}(D, E)) $, the Toeplitz operator $T_\Phi$ on the vector-valued Hardy space $H^2_s(\mathbb T, \mathcal{B}(D, E))$ are densely defined operators defined by $$ T_{\Phi}p:= P(\Phi p) \quad(p \in \mathcal P_D), $$ where $P$ denotes the orthogonal projection that maps $L^2(\mathbb T, E)$ onto $H^2(\mathbb T, E)$. In this talk, we will discuss vector-valued function spaces and Toeplitz operators on the vector-valued Hardy space. This talk is based on a joint work with R.E. Curto, In Sung Hwang and Woo Young Lee. |
| 분류기호 (MSC number(s)) |
47B35, 30H10, 46E40 |
| 키워드(Keyword(s)) | Toeplitz operators, Hardy spaces, vector-valued functions |
| 강연 형태 (Language of Session (Talk)) |
Korean |