The operator is similar to a selfadjoint operator in

Authors:
Branko Ćurgus and Branko Najman

Journal:
Proc. Amer. Math. Soc. **123** (1995), 1125-1128

MSC:
Primary 47B25; Secondary 34L05, 47B50, 47E05

DOI:
https://doi.org/10.1090/S0002-9939-1995-1223513-X

MathSciNet review:
1223513

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Abstract: Krein space operator-theoretic methods are used to prove that the operator is similar to a selfadjoint operator in the Hilbert space .

**[1]**B. Ćurgus,*On the regularity of the critical point infinity of definitizable operators*, Integral Equations Operator Theory**8**(1985), 462-488. MR**800185 (86k:47036)****[2]**B. Ćurgus and H. Langer,*A Krein space approach to symmetric ordinary differential operators with an indefinite weight function*, J. Differential Equations**79**(1989), 31-61. MR**997608 (90j:47060)****[3]**B. Ćurgus and B. Najman,*A Krein space approach to elliptic eigenvalue problems with indefinite weights*, Differential Integral Equations**7**(1994), 1241-1252. MR**1269654 (95j:47056)****[4]**H. Langer,*Spectral function of definitizable operators in Krein spaces*, Functional Analysis, Proceedings (Dubrovnik, 1981), Lecture Notes in Math., vol. 948, Springer-Verlag, Berlin, 1982, pp. 1-46. MR**672791 (84g:47034)****[5]**A. B. Mingarelli,*A survey of the regular weighted Sturm-Liouville problem--the nondefinite case*, International Workshop on Applied Differential Equations (Beijing, 1985), World Scientific, Singapore, 1986, pp. 109-137. MR**901329**

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DOI:
https://doi.org/10.1090/S0002-9939-1995-1223513-X

Article copyright:
© Copyright 1995
American Mathematical Society