Bibliography
B. Ćurgus and B. Najman, Proc. Amer. Math. Soc., 123 (1995), 1125–1128.
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.
I. M. Karabash and A. S. Kostenko, Mat. Zametki [Math. Notes], 74 (2003), no. 1, 127–131.
I. M. Karabash and M. M. Malamud, Dokl. Ross. Akad. Nauk [Russian Acad. Sci. Dokl. Math.], 395 (2004), no. 3, 303–307.
A. S. Kostenko, Mat. Zametki [Math. Notes], 78 (2005), no. 1, 147–151.
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.
M. M. Faddeev and R. G. Shterenberg, Mat. Zametki [Math. Notes], 72 (2002), 292–303.
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.
S. N. Naboko, Funktsional. Anal. i Prilozhen. [Functional Anal. Appl.], 18 (1984), no. 1, 16–27.
M. M. Malamud, Ukrain. Mat. Zh. [Ukrainian Math. J.], 37 (1985), no. 1, 49–56.
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.
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.
B. Ćurgus and H. Langer, J. Diff. Eqs., 79 (1989), 31–61.
Author information
Authors and Affiliations
Additional information
__________
Translated from Matematicheskie Zametki, vol. 80, no. 1, 2006, pp. 135–138.
Original Russian Text Copyright © 2006 by A. S. Kostenko.
Rights and permissions
About this article
Cite this article
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
Received:
Issue Date:
DOI: https://doi.org/10.1007/s11006-006-0117-4