A Local Spectral Theory for Operators. III: Resolvents, Spectral Sets and Similarity

1972 ◽  
Vol 168 ◽  
pp. 133 ◽  
Author(s):  
J. G. Stampfli
Keyword(s):  
Spectral Theory ◽  
Spectral Sets ◽  
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 classes of local spectral theory

2005 ◽  
Vol 305 (1) ◽  
pp. 175-182
Author(s):  
Gabriel T. Prǎjiturǎ
Keyword(s):  
Spectral Theory ◽  
Local Spectral Theory

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

scholarly journals A local spectral theory for operators

1969 ◽  
Vol 4 (1) ◽  
pp. 1-10 ◽  
Author(s):  
J.G Stampfli
Keyword(s):  
Spectral Theory ◽  
Local Spectral Theory

scholarly journals Local spectral theory for Drazin invertible operators

2016 ◽  
Vol 435 (1) ◽  
pp. 414-424 ◽  
Author(s):  
Pietro Aiena ◽  
Salvatore Triolo
Keyword(s):  
Spectral Theory ◽  
Local Spectral Theory

Common properties of the operator products in local spectral theory

2015 ◽  
Vol 31 (11) ◽  
pp. 1715-1724 ◽  
Author(s):  
Kai Yan ◽  
Xiao Chun Fang
Keyword(s):  
Spectral Theory ◽  
Local Spectral Theory
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