Finite-dimensional perturbations of self-adjoint operators

Integral Equations and Operator Theory

Volumn 34, Issue 2, 1999, Pages 127-164

  Arazy, Jonathan ^a   Zelenko, Leonid ^a  

^a UNIVERSITY OF HAIFA   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0013184626     PISSN: 0378620X     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01236469     Document Type: Article

References (11)

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2. T. Kato, Perturbation theory of linear operators, Springer-Verlag, New York, Tokyo, 1984.
3. F. Rellich, Perturbation theory of eigenvalue problems, Lecture notes, New York University, New York, 1953.
4. K. O. Friedrichs, Perturbation of spectra in Hilbert Space, Amer. Math. Soc., Providence, Rhode Island, 1965.
5. H. Weyl, Übeschränkte quadratische Formen, deren Differenz vollstetig ist, Rend. Circolo mat. Palermo 27 (1909), 375-392.
6. M. Rosenblum, Perturbation of the continuous spectrum and unitary equivalence, Pacific J. Math. 7 (1957), 997-1010.
7. T. Kato, On finite-dimensional perturbations of selfadjoint operators, J. of the Math. Soc. Jap. 9, No2 (1957), 239-249.
8. T. Kato, Perturbation of continuous spectra by the Trace Class Operators, Proc. of the Jap. Ac. 33, No 5 (1957), 260-264.
9. N. I. Achieser and I. M. Glazman, Theory of linear operators in a Hilbert space, Dower Publications, Inc. New York, 1993.
10. M. G. Krein, The theory of selfadjoint extensions of semi-bounded Hermitian operators and its applications, Parts I, II, Matematicheskii Sbornik 20(62), 21(63) (1947), 431-495, 365-404.
11. I.C. Gohberg and M.G. Krein, Introduction to the theory of linear non-selfadjoint operators, vol. 18. Amer. Math. Soc. Translations, Providence, Rhode Island, USA, 1969 (English translation 1978).