Abstract
In this paper, we show that algebraic extensions of semi-hyponormal operators (defined below) are subscalar. As corollaries we get the following: (1) Every k-quasihyponormal operator is subscalar. (2) Every algebraic extension of Aluthge transforms of p-hyponormal operators is subscalar. From these results and [Es] it is known that such operators with 'rich spectra' have nontrivial invariant subspaces.
| Original language | English |
|---|---|
| Pages (from-to) | 449-456 |
| Number of pages | 8 |
| Journal | Integral Equations and Operator Theory |
| Volume | 37 |
| Issue number | 4 |
| DOIs | |
| State | Published - 2000 |