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.
|Number of pages||15|
|Journal||Mathematical Inequalities and Applications|
|State||Published - Jan 2017|
- Local spectral property
- Relatively regular operator