Abstract
In this paper, we study some relatively regular operators T such that T = TST for some S Ε L(H ) . We give some spectral and local spectral properties between T and S . We also show that some relatively regular operators T have a nontrivial invariant subspace. Finally, we introduce and study the local spectral property of relatively regular operators modulo a nilpotent operator.
| Original language | English |
|---|---|
| Pages (from-to) | 123-137 |
| Number of pages | 15 |
| Journal | Mathematical Inequalities and Applications |
| Volume | 20 |
| Issue number | 1 |
| DOIs | |
| State | Published - Jan 2017 |
Keywords
- Local spectral property
- Relatively regular operator