In this paper we study the decomposability of rank one perturbations of complex symmetric operators R = T + u ⊗ v. Also we investigate some conditions for which R satisfies a-Weyl’s theorem. Finally, we characterize some conditions for R to be hyponormal. As consequences, we provide several cases for such operators.
|Number of pages||15|
|State||Published - 28 Sep 2015|
- A-Weyl’s theorem
- Complex symmetric operators
- Rank one perturbation