In this paper, we analyze local spectral properties of operators R, S and RS which satisfy the operator equations RnSRn = Rj and Sn RSn = Sj for same integers j ≥ n ≥ 0. We also continue to study the relationship between the local spectral properties of an operator R and the local spectral properties of S. Thus, we investigate the transmission of some local spectral properties from R to S and we illustrate our results with an example. The theory is exemplified in some cases.
|Number of pages||8|
|Publication status||Published - 2020|
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory
- Mathematical Physics
- Geometry and Topology