A Krein space approach to PT-symmetry

Czechoslovak Journal of Physics

Volumn 54, Issue 10, 2004, Pages 1113-1120

  Langer, Heinz ^a   Tretter, Christiane ^b  

^a VIENNA UNIVERSITY OF TECHNOLOGY   (Austria)

^b UNIVERSITY OF BREMEN   (Germany)

Author keywords

Krein space; PT symmetry; spectrum

Indexed keywords

EID: 5444251091     PISSN: 00114626     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:CJOP.0000044012.95629.b2     Document Type: Conference Paper

References (11)

1. M.G. Kreǐn: in Second Math. Summer School, Naukova Dumka, Kiev, 1965, Part I, p. 15 (in Russian); Engl. translation: Amer. Math. Soc. Transl. (2), Vol. 93, 1970.
2. M.G. Kreǐn: in Second Math. Summer School, Naukova Dumka, Kiev, 1965, Part I, p. 15 (in Russian); Engl. translation: Amer. Math. Soc. Transl. (2), Vol. 93, 1970.
3. E. Caliceti, S. Graffi, and J. Sjöstrand: Spectra of PT-symmetric operators and perturbation theory, preprint; arXiv:math-ph/0407052v1.
4. K.C. Shin: Trace formulas for non-self-adjoint periodic Schrödinger operators and some applications, preprint.
5. J. Bognár: Indefinite inner product spaces. Springer-Verlag, New York, 1974.
6. H. Langer: in Functional analysis, Lecture Notes in Math., Vol. 948, Springer-Verlag, Berlin, 1982, p. 1.
7. T.Ya. Azizov and I.S. lokhvidov: Linear operators in spaces with an indefinite metric. John Wiley & Sons Ltd., Chichester, 1989.
8. F. Riesz and B. Sz.-Nagy: Functional Analysis, Dover Publications, New York 1990.
9. H. Langer and B. Najman: Integral Equations Operator Theory 12 (1989) 392.
10. H. Langer and B. Najman: Integral Equations Operator Theory 15 (1992) 796.
11. I. Gohberg, P. Lancaster, and L. Rodman: Applicable Anal. 20 (1985) 23.