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Similarity of some J-nonnegative operators to self-adjoint operators

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Bibliography

  1. B. Ćurgus and B. Najman, Proc. Amer. Math. Soc., 123 (1995), 1125–1128.

    Article  MathSciNet  MATH  Google Scholar 

  2. A. Fleige and B. Najman, “Nonsingularity of critical points of some differential and difference operators,” in: Oper. Theory Adv. and Appl., vol. 102, Birkhäuser, Basel, 1998, pp. 85–95.

    Google Scholar 

  3. I. M. Karabash and A. S. Kostenko, Mat. Zametki [Math. Notes], 74 (2003), no. 1, 127–131.

    MATH  MathSciNet  Google Scholar 

  4. I. M. Karabash and M. M. Malamud, Dokl. Ross. Akad. Nauk [Russian Acad. Sci. Dokl. Math.], 395 (2004), no. 3, 303–307.

    MathSciNet  Google Scholar 

  5. A. S. Kostenko, Mat. Zametki [Math. Notes], 78 (2005), no. 1, 147–151.

    MATH  MathSciNet  Google Scholar 

  6. M. M. Faddeev and R. G. Shterenberg, “On the similarity of some singular differential operators to self-adjoint operators,” Zap. Nauchn. Sem. POMI, 270 (2000), 336–349.

    MATH  Google Scholar 

  7. M. M. Faddeev and R. G. Shterenberg, Mat. Zametki [Math. Notes], 72 (2002), 292–303.

    MATH  MathSciNet  Google Scholar 

  8. H. Langer, “Spectral functions of definitizable operators in Krein spaces,” in: Functional Analysis. Proceedings (Dubrovnik 1981), Lecture Notes in Math., vol. 948, 1982, pp. 1–46.

  9. S. N. Naboko, Funktsional. Anal. i Prilozhen. [Functional Anal. Appl.], 18 (1984), no. 1, 16–27.

    Article  MATH  MathSciNet  Google Scholar 

  10. M. M. Malamud, Ukrain. Mat. Zh. [Ukrainian Math. J.], 37 (1985), no. 1, 49–56.

    MATH  MathSciNet  Google Scholar 

  11. I. S. Kats and M. G. Krein, “On Spectral Functions of a String,” in: Appendix II to the book of F. Atkinson “Discrete and Continuous Problems”, Mir, Moscow, 1968.

    Google Scholar 

  12. V. A. Derkach and M. M. Malamud, “The extension theory of Hermitian operators and the moment problem,” in: Current Problems in Mathematics. Analysis 3. Itogi Nauki i Tekhniki [Progress in Science and Technology] [in Russian], vol. 5, Vseross. Inst. Nauchn. i Tekhn. Inform. (VINITI), Moscow, 1993.

    Google Scholar 

  13. B. Ćurgus and H. Langer, J. Diff. Eqs., 79 (1989), 31–61.

    Article  MATH  Google Scholar 

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  1. Donetsk National University, Ukraine

    A. S. Kostenko

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  1. A. S. Kostenko
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__________

Translated from Matematicheskie Zametki, vol. 80, no. 1, 2006, pp. 135–138.

Original Russian Text Copyright © 2006 by A. S. Kostenko.

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Kostenko, A.S. Similarity of some J-nonnegative operators to self-adjoint operators. Math Notes 80, 131–135 (2006). https://doi.org/10.1007/s11006-006-0117-4

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