On a class of selfadjoint operators in Krein space and their compact perturbations

1988 ◽  
Vol 11 (3) ◽  
pp. 351-384 ◽  
Author(s):  
Peter Jonas
Keyword(s):  
Krein Space ◽  
Selfadjoint Operators ◽  
Compact Perturbations ◽  
Kreĭn Space

Compact perturbations of normal operators in a Krein space

1990 ◽  
Vol 42 (10) ◽  
pp. 1155-1161 ◽  
Author(s):  
T. Ya. Azizov ◽  
P. Ionas
Keyword(s):  
Krein Space ◽  
Compact Perturbations ◽  
Kreĭn Space ◽  
Normal Operators

scholarly journals Weyl type theorems for selfadjoint operators on Krein spaces

Filomat ◽  
2018 ◽  
Vol 32 (17) ◽  
pp. 6001-6016
Author(s):  
Il An ◽  
Jaeseong Heo
Keyword(s):  
Hilbert Space ◽  
Linear Operator ◽  
Krein Space ◽  
Linear Operators ◽  
Fredholm Theory ◽  
Bounded Linear ◽  
Selfadjoint Operators ◽  
Krein Spaces ◽  
Weyl Type Theorems ◽  
Kreĭn Space

In this paper, we introduce a notion of the J-kernel of a bounded linear operator on a Krein space and study the J-Fredholm theory for Krein space operators. Using J-Fredholm theory, we discuss when (a-)J-Weyl?s theorem or (a-)J-Browder?s theorem holds for bounded linear operators on a Krein space instead of a Hilbert space.

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.

Krein Space-based Hθ Fault Estimation for Linear Discrete Time-varying Systems

2009 ◽  
Vol 34 (12) ◽  
pp. 1529-1533 ◽  
Author(s):  
Mai-Ying ZHONG ◽  
Shuai LIU ◽  
Hui-Hong ZHAO
Keyword(s):  
Discrete Time ◽  
Krein Space ◽  
Fault Estimation ◽  
Time Varying ◽  
Time Varying Systems ◽  
Kreĭn Space

scholarly journals The boundary of the Krein space tracial numerical range, an algebraic approach and a numerical algorithm

2009 ◽  
Vol 189 (4) ◽  
pp. 539-551
Author(s):  
N. Bebiano ◽  
H. Nakazato ◽  
A. Nata ◽  
J. da Providência
Keyword(s):  
Numerical Algorithm ◽  
Numerical Range ◽  
Krein Space ◽  
Algebraic Approach ◽  
Kreĭn Space

scholarly journals A Krein space-based approach to event-triggered H∞ filtering for linear discrete time-varying systems

Automatica ◽  
2022 ◽  
Vol 135 ◽  
pp. 110001
Author(s):  
Maiying Zhong ◽  
Steven X. Ding ◽  
Qing-Long Han ◽  
Xiao He ◽  
Donghua Zhou
Keyword(s):  
Discrete Time ◽  
Krein Space ◽  
Time Varying ◽  
Time Varying Systems ◽  
Kreĭn Space ◽  
Event Triggered
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