컨텐츠 시작
학술대회/행사
초록검색
| 제출번호(No.) | 0306 |
|---|---|
| 분류(Section) | Contributed Talk |
| 분과(Session) | Functional Analysis and Applications (SS-09) |
| 영문제목 (Title(Eng.)) |
Complex symmetric operator matrices and their decomposability |
| 저자(Author(s)) |
Ji Eun Lee1, Eungil Ko1, Sungeun Jung1 Ewha Womans University Institute of Mathematical Sciences1 |
| 초록본문(Abstract) | An operator $T\in{\cal L(H)}$ is said to be complex symmetric if there exists a conjugation $J$ on ${\cal H}$ such that $T= JT^{\ast}J$. In this paper, we find several forms of complex symmetric operator matrices and investigate decomposability of such complex symmetric operator matrices and their applications. In particular, we prove that let $T \in{\cal L}({\cal H}\oplus{\cal H})$ be an operator matrix of the form $T=\begin{pmatrix} A & B \cr 0 & JA^{\ast}J \end{pmatrix}$ where $J$ is a conjugation on $\cal H$. If $A$ is complex symmetric, then $T$ is decomposable if and only if $A$ is. Moreover, we consider some conditions so that $a$-Weyl's theorem holds for the operator matrix $T$. |
| 분류기호 (MSC number(s)) |
Primary 47A11, 47A53; Secondary 47B38, 47B33, 47B35. |
| 키워드(Keyword(s)) | complex symmetric operator matrices, decomposable, a-Weyl's theorem |
| 강연 형태 (Language of Session (Talk)) |
English |