Skip to main content
SpringerLink
Log in

Essential self-adjointness of an infinite-dimensional operator

  • Published:
Mathematical notes of the Academy of Sciences of the USSR Aims and scope Submit manuscript

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Literature cited

  1. Yu. L. Daletskii, “Infinite-dimensional elliptic operators and parabolic equations connected with them,” Usp. Mat. Nauk,22, No. 4, 3–54 (1967).

    Google Scholar 

  2. N. N. Frolov, “On a coerciveness inequality for an elliptic operator with infinite number of independent variables,” Mat. Sb.,90, 403–414 (1973).

    Google Scholar 

  3. L. Gross, “Potential theory on Hubert space,” J. Funct. Anal.,1, No. 1, 123–181 (1967).

    Google Scholar 

  4. Yu. M. Berezanskii, Expansion of Self-Adjoint Operators in Characteristic Functions [in Russian], Naukova Dumka, Kiev (1965).

    Google Scholar 

  5. T. Kato, Perturbation Theory for Linear Operators, Springer-Verlag, New York-Berlin (1966).

    Google Scholar 

  6. B. Simon and R. Hoegh-Krohn, “Hypercontractive semigroups and two-dimensional selfcoupled Bose fields,” J. Funct. Anal.,9, 121–180 (1972).

    Google Scholar 

  7. A. V. Marchenko, “Self-adjoint differential operators with infinite number of independent variables,” Mat. Sb.,96, No. 5, 276–293 (1975).

    Google Scholar 

  8. Yu. M. Berezanskii, “Self-adjointness of elliptic operators with infinite number of variables,” Ukr. Mat. Zh.,27, No. 6, 729–742 (1975).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Dalnevostok State University, USSR

    N. N. Frolov

Authors
  1. N. N. Frolov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Matematicheskie Zametki, Vol. 24, No. 2, pp. 241–248, August, 1978.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Frolov, N.N. Essential self-adjointness of an infinite-dimensional operator. Mathematical Notes of the Academy of Sciences of the USSR 24, 630–634 (1978). https://doi.org/10.1007/BF01105317

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01105317

Search

Navigation