Abstract
In this paper we study some properties of rank one perturbations of the unilateral shift operators T = S+u⊗v. In particular, we give some criteria for eigenvalues of T. Also we characterize some conditions for T to be hyponormal.
| Original language | English |
|---|---|
| Pages (from-to) | 79-88 |
| Number of pages | 10 |
| Journal | Communications of the Korean Mathematical Society |
| Volume | 26 |
| Issue number | 1 |
| DOIs | |
| State | Published - 2011 |
Keywords
- Rank one perturbation
- The unilateral shift and hyponormal operator