SOME RESULTS ON LOCAL SPECTRAL THEORY

2018 ◽  
Vol 103 (12) ◽  
pp. 1975-1987
Author(s):  
Jong-Kwang Yoo
Keyword(s):  
Spectral Theory ◽  
Local Spectral Theory

scholarly journals Local Spectral Theory for R and S Satisfying RnSRn = Rj

Axioms ◽  
2020 ◽  
Vol 9 (4) ◽  
pp. 120
Author(s):  
Salvatore Triolo
Keyword(s):  
Spectral Theory ◽  
Spectral Properties ◽  
Operator Equations ◽  
The Relationship ◽  
Local Spectral Theory

In this paper, we analyze local spectral properties of operators R,S and RS which satisfy the operator equations RnSRn=Rj and SnRSn=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.

scholarly journals The Kato-type spectrum and local spectral theory

2007 ◽  
Vol 57 (3) ◽  
pp. 831-842 ◽  
Author(s):  
T. L. Miller ◽  
V. G. Miller ◽  
M. M. Neumann
Keyword(s):  
Spectral Theory ◽  
Type Spectrum ◽  
Local Spectral Theory
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