Equivalence up to a rank one perturbation

Pacific Journal of Mathematics

Volumn 194, Issue 1, 2000, Pages 175-188

  Poltoratski, Alexei G ^a  

^a TEXAS A AND M UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001015142     PISSN: 00308730     EISSN: None     Source Type: Journal    
DOI: 10.2140/pjm.2000.194.175     Document Type: Article

References (9)

1. A.B. Aleksandrov, Private communications.
2. N. Aronszajn, On a problem of Weyl in the theory of singular Sturm-Liouville equations, Amer. J. Math., 79 (1957), 597-610.
3. M.Sh. Birman and D.R. Yafaev, The spectral shift function. The work of M. G. Krein and its further development, St. Petersburg Math. J., 4 (1993), 833-870.
4. R.W. Carey and J.D. Pincus, Unitary equivalence modulo the trace class for self-adjoint operators, Amer J. Math., 98 (1976), 481-514.
5. T. Kato, Perturbation theory for linear operators, Springer-Verlag, New York, 1966.
6. M. Martin and M. Putinar, Lectures on Hyponormal operators, Operator Theory: Advances and Applications, 39 (1989).
7. A. Poltoratski, The Krein spectral shift and rank one perturbations of spectra, Algebra i Analiz, 10(5) (1998), 143-183, Russian; English translation to appear in St. Petersburg Math. J.
8. A. Poltoratski, The Krein spectral shift and rank one perturbations of spectra, Algebra i Analiz, 10(5) (1998), 143-183, Russian; English translation to appear in St. Petersburg Math. J.
9. B. Simon, Spectral analysis of rank one perturbations and applications, Proc. 1993 Vancouver Summer School in Mathematical Physics.