A Local Spectral Theory for Operators. V: Spectral Subspaces for Hyponormal Operators

1976 ◽  
Vol 217 ◽  
pp. 285 ◽  
Author(s):  
Joseph G. Stampfli
Keyword(s):  
Spectral Theory ◽  
Hyponormal Operators ◽  
Spectral Subspaces ◽  
Local Spectral Theory

scholarly journals Decomposability of Krein space operators

Filomat ◽  
2020 ◽  
Vol 34 (9) ◽  
pp. 3119-3129
Author(s):  
Il An ◽  
Jaeseong Heo
Keyword(s):  
Spectral Theory ◽  
Selfadjoint Operator ◽  
Krein Space ◽  
Selfadjoint Operators ◽  
Kreĭn Space ◽  
Decomposable Operators ◽  
Spectral Subspaces ◽  
Local Spectral Theory

In this paper, we review some properties in the local spectral theory and various subclasses of decomposable operators. We prove that every Krein space selfadjoint operator having property (?) is decomposable, and clarify the relation between decomposability and property (?) for J-selfadjoint operators. We prove the equivalence of these properties for J-selfadjoint operators T and T* by using their local spectra and local spectral subspaces.

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
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