|
Preservation of the Range under Perturbations of an Operator
Author(s):
Branko
Curgus;
Branko
Najman
Journal:
Proc. Amer. Math. Soc.
125
(1997),
2627-2631.
MSC (1991):
Primary 47B50, 47B25;
Secondary 46C20
Retrieve article in:
PDF DVI PostScript
This article is available free of charge
Abstract |
References |
Similar articles |
Additional information
Abstract:
A sufficient condition for the stability of the range of a positive operator in a Hilbert space is given. As a consequence, we get a class of additive perturbations which preserve regularity of the critical point  of a positive operator in a Krein space.
References:
- 1.
- B. Curgus, On the regularity of the critical point infinity of definitizable operators, Integral Equations Operator Theory 8 (1985), 462-488. MR 86k:47036
- 2.
- B. Curgus, B. Najman, A Krein space approach to elliptic eigenvalue problems with indefinite weights, Differential and Integral Equations 7 (1994), 1241-1252. MR 95j:47056
- 3.
- B. Curgus, B. Najman, Positive differential operators in Krein space
 , Operator Theory: Advances and Applications. To appear. CMP 96:15 - 4.
- P. Jonas, Compact perturbations of definitizable operators. II, J. Operator Theory 8 (1982), 3-18. MR 84d:47046
- 5.
- P. Jonas, On a problem of the perturbation theory of selfadjoint operators in Krein spaces, J. Operator Theory 25 (1991), 183-211. MR 94g:47044
- 6.
- T. Kato, Perturbation theory of linear operators, Springer-Verlag, Berlin, 1966.
- 7.
- H. Langer, Spectral function of definitizable operators in Krein spaces, Functional Analysis, Proceedings, Dubrovnik 1981. Lecture Notes in Mathematics 948, Springer-Verlag, Berlin, 1982, 1-46. MR 84g:47034
- 8.
- K. Veselic, On spectral properties of a class of J-selfadjoint operators. I, Glasnik Mat. Ser. III 7(27) (1972), 229-248. MR 47:9333
Similar Articles:
Retrieve articles in Proceedings of the American Mathematical Society
with MSC
(1991):
47B50, 47B25,
46C20
Retrieve articles in all Journals with MSC
(1991):
47B50, 47B25,
46C20
Additional Information:
Branko
Curgus
Affiliation:
Department of Mathematics, Western Washington University, Bellingham, Washington 98225
Email:
curgus@cc.wwu.edu
Branko
Najman
Affiliation:
Department of Mathematics, University of Zagreb, Bijenicka 30, 10000 Zagreb, Croatia
Email:
najman@cromath.math.hr
DOI:
10.1090/S0002-9939-97-03840-9
PII:
S 0002-9939(97)03840-9
Keywords:
Operator range,
Krein space,
definitizable operator,
critical point
Received by editor(s):
October 2, 1995
Received by editor(s) in revised form:
March 18, 1996
Additional Notes:
Professor Najman died in August 1996.
Communicated by:
Palle E. T. Jorgensen
Copyright of article:
Copyright
1997,
American Mathematical Society
|
Comments: webmaster@ams.org