Abstract
In this paper we study some properties of a totally*-paranormal operator (defined below) on Hilbert space. In particular, we characterize a totally*-paranormal operator. Also we show that Weyl's theorem and the spectral mapping theorem hold for totally*-paranormal operators through the local spectral theory. Finally, we show that every totally*-paranormal operator satisfies an analogue of the single valued extension property for W 2(D, H) and some of totally*-paranormal operators have scalar extensions.
| Original language | English |
|---|---|
| Pages (from-to) | 1265-1280 |
| Number of pages | 16 |
| Journal | Czechoslovak Mathematical Journal |
| Volume | 56 |
| Issue number | 4 |
| DOIs | |
| State | Published - Dec 2006 |
Keywords
- *-paranormal
- Hypercyclic
- Hyponormal
- Operators
- Totally