Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 1795-1809 |
| Number of pages | 15 |
| Journal | Filomat |
| Volume | 29 |
| Issue number | 8 |
| DOIs | |
| State | Published - 28 Sep 2015 |
Bibliographical note
Publisher Copyright:© 2015, University of Nis. All rights reserved.
Keywords
- A-Weyl’s theorem
- Complex symmetric operators
- Decomposable
- Hyponormal
- Rank one perturbation