Event
01_1
| 제출번호(No.) | 0110 |
|---|---|
| 분류(Section) | Contributed Talk |
| 분과(Session) | Analysis (AN) |
| 영문제목 (Title(Eng.)) |
Remarks on operators which are power similar to complex symmetric operators |
| 저자(Author(s)) |
Lee Mee-Jung1, Eungil Ko1, Ji Eun Lee2 Ewha Womans University1, Sejong University2 |
| 초록본문(Abstract) | In this talk, we study properties of operators of power similar to complex symmetric operators. Let $C$ be a fixed conjugation on $\mathcal{H}$. For a complex symmetric operator $R$ with respect to a conjugation $C$, we set $PS_n(R)=\{T\in{\mathcal{L(H)}}: T^n \mbox{ is similar to } R^n \}$ for some positive integer $n$ and $PS(R)=\cup_{n=1}^{\infty}PS_n(R)$. In particular, we focus on the stability of complex symmetric and local spectral properties of oprator $T\in PS_{n}(R)$ for some symmetric operator $R$. Using the results, we get the some applications of such operators. |
| 분류기호 (MSC number(s)) |
47B20, 47A10 |
| 키워드(Keyword(s)) | similar operator, complex symmetric operator, spectral theory |
| 강연 형태 (Language of Session (Talk)) |
Korean |