A Note on Perturbations of Selfadjoint Operators in Krein Spaces

1990 ◽  
pp. 229-235
Author(s):  
Peter Jonas
Keyword(s):  
Selfadjoint Operators ◽  
Krein Spaces

scholarly journals Normal generalized selfadjoint operators in Krein spaces

1998 ◽  
Vol 283 (1-3) ◽  
pp. 239-245 ◽  
Author(s):  
Scott A. McCullough ◽  
Leiba Rodman
Keyword(s):  
Selfadjoint Operators ◽  
Krein Spaces

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.

Two-selfadjoint operators in Krein spaces

1996 ◽  
Vol 26 (2) ◽  
pp. 202-209 ◽  
Author(s):  
Scott A. McCullough ◽  
Leiba Rodman
Keyword(s):  
Selfadjoint Operators ◽  
Krein Spaces

scholarly journals Boundary values of resolvents of selfadjoint operators in Krein spaces

2013 ◽  
Vol 265 (12) ◽  
pp. 3245-3304 ◽  
Author(s):  
V. Georgescu ◽  
C. Gérard ◽  
D. Häfner
Keyword(s):  
Boundary Values ◽  
Selfadjoint Operators ◽  
Krein Spaces
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