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.
Triolo S. (2020). Local spectral theory for r and s satisfying rnsrn = rj. AXIOMS, 9(4), 1-8 [10.3390/axioms9040120].
Local spectral theory for r and s satisfying rnsrn = rj
Triolo S.
2020-01-01
Abstract
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.File in questo prodotto:
File | Dimensione | Formato | |
---|---|---|---|
axioms-09-00120.pdf
accesso aperto
Tipologia:
Versione Editoriale
Dimensione
250.22 kB
Formato
Adobe PDF
|
250.22 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.