Skip to main content
SpringerLink
Log in

On characteristic operator-functions of Lie-algebras

  • Published:
Integral Equations and Operator Theory Aims and scope Submit manuscript

Abstract

An algebra Lie of linear operators in a Hilbert space with given characteristic function and given structure constants is defined up to a unitary transformation of the Hilbert space.

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

Similar content being viewed by others

References

  1. Brodskii, M.S.: Triangular and Jordan representations of linear operators, Nauka, Moscow, 1969; English translation, Math. Monographs, vol. 32, Amer. Math. Soc., Providence, R.I. 1971. MR41, No. 4283.

    Google Scholar 

  2. Livšic, M.S. and Jantsevich, A.A.: Operator colligations in Hilbert spaces (1971) (Kharkov Univ. U.S.S.R., English translation, J. Wiley, New York, 1979).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Math. dept., Kharkov University, Kharkov, USSR

    L. L. Waksman

Authors
  1. L. L. Waksman
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

This paper was originally published in Russian in "Proc. of Kharkov University", U.S.S.R. Kharkov 1972, No. 83, pp.41–45.

The editor is grateful to S. Levin (Ben-Gurion University of the Negev) for the translation.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Waksman, L.L. On characteristic operator-functions of Lie-algebras. Integr equ oper theory 6, 312–318 (1983). https://doi.org/10.1007/BF01691900

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01691900

Keywords

Search

Navigation