Abstract
In this paper we show that every w-hyponormal operator has a scalar extension, i.e. is similar to the restriction to an invariant subspace of a scalar operator of order 4. As a corollary, we obtain that every w-hyponormal operator satisfies the property (β).
| Original language | English |
|---|---|
| Pages (from-to) | 363-372 |
| Number of pages | 10 |
| Journal | Integral Equations and Operator Theory |
| Volume | 53 |
| Issue number | 3 |
| DOIs | |
| State | Published - Nov 2005 |
Bibliographical note
Funding Information:The author was supported by Korea Research Foundation Grant (KRF-2002-015-CP0044).
Keywords
- Subscalar operators
- The property (β)
- W-hyponormal