Abstract
In this paper, we show that some 2 × 2 operator matrices have scalar extensions. In particular, we focus on some 2-hyponormal operators and their generalizations. As a corollary, we get that such operator matrices have nontrivial invariant subspaces if their spectra have nonempty interiors in the complex plane.
| Original language | English |
|---|---|
| Pages (from-to) | 365-388 |
| Number of pages | 24 |
| Journal | Operators and Matrices |
| Volume | 5 |
| Issue number | 3 |
| DOIs | |
| State | Published - 2011 |
Keywords
- 2-hyponormal operators
- Invariant subspaces
- Subscalar operators
- The property (β)