Skip to main content
Log in

Similarity of \(sgn x( - \tfrac{{d^2 }}{{dx^2 }} + c\delta )\) Type Operators to Normal and Self-adjoint Operators

  • Published:
Mathematical Notes Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

REFERENCES

  1. R. Beals, J. Differential Equations, 56 (1985), no. 3, 391–407.

    Google Scholar 

  2. S. G. Pyatkov, Sibirsk. Mat. Zh. [Siberian Math. J.], 30 (1989), no. 4, 111–124.

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

  6. I. M. Karabash, Methods of Functional Analysis and Topology, 6 (2000), no. 2, 22–49.

    Google Scholar 

  7. M. M. Fadeev and R. G. Shterenberg, Zap. Nauchn. Sem. POMI, 270 (2000), 336–349.

    Google Scholar 

  8. N. I. Akhiezer and I. M. Glazman, Theory of Linear Operators in Hilbert Space [in Russian], vol. 2, Vishcha Shkola, Kharkov, 1978.

    Google Scholar 

  9. V. A. Derkach and M. M. Malamud, Ukrain. Mat. Zh. [Ukrainian Math. J.], 44 (1992), no. 4, 435–459.

    Google Scholar 

  10. P. Coosis, Introduction to H p Spaces, Cambridge Univ. Press, Cambridge, 1980.

    Google Scholar 

  11. S. Albeverio, F. Gesztesy, R. Hoegh-Krohn, and H. Holden, Solvable Models in Quantum Mechanics, Springer-Verlag, New York, 1988.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Karabash, I.M., Kostenko, A.S. Similarity of \(sgn x( - \tfrac{{d^2 }}{{dx^2 }} + c\delta )\) Type Operators to Normal and Self-adjoint Operators. Mathematical Notes 74, 127–131 (2003). https://doi.org/10.1023/A:1025031519433

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1025031519433

Navigation