Abstract
In this paper we show that Helton class preserves the nilpotent and finite ascent properties. Also, we show some relations on nontransitivity and decomposability between operators and their Helton classes. Finally, we give some applications in the Helton class of weighted shifts.
| Original language | English |
|---|---|
| Pages (from-to) | 183-195 |
| Number of pages | 13 |
| Journal | Bulletin of the Korean Mathematical Society |
| Volume | 48 |
| Issue number | 1 |
| DOIs | |
| State | Published - Jan 2011 |
Keywords
- Decomposability
- Essential spectra
- Helton class
- Nilpotent property finite ascent property
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