Properties of complex symmetric operators
2014.07.24 14:24
| 실적년도 | 2014년 |
|---|---|
| 논문구분 | 국외 |
| 총저자 | 고응일, 정성은, 이지은 |
| 학술지명 | Operators and Matrices |
| 권(Vol.) | |
| 호(No.) | |
| 게재년월 | 년 월 |
| Impact Factor | |
| SCI 등재 | |
| 비고 |
An operator $T ∈L(H)$ is said to be complex symmetric if there exists a conjugation $C$ on $H$ such that $T =CT^*C$. In this paper, we prove that every complex symmetric operator is biquasitriangular. Also, we show that if a complex symmetric operator $T$ is weakly hypercyclic, then both $T$ and $T^*$ have the single-valued extension property and that if $T$ is a complex symmetric operator which has the property $(\delta)$ , then Weyl’s theorem holds for $f(T)$ and $f(T)^*$ where f is any analytic function in a neighborhood of $\sigma(T)$ . Finally, we establish equivalence relations among Weyl type theorems for complex symmetric operators.
