Skip to main content
SpringerLink
Log in

On Initial Data of a Simple Conservative Scattering System That Can Be Transferred to Zero by a Sequence of Inputs from l 2

  • Published:
Ukrainian Mathematical Journal Aims and scope

Abstract

We describe a lineal of initial data of a simple conservative scattering system that can be transferred to zero by a sequence from l 2. The proof is based on the known relationship between the Lax-Phillips scattering theory and the theory of unitary operator nodes developed by Szokefalvi-Nagy, Foias, and Brodskii.

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. D. Z. Arov, “Passive linear stationary dynamical systems,” Sib. Mat. Zh., No. 20, 211–228 (1979).

  2. M. S. Brodskii, “Unitary nodes and their characteristic functions,” Usp. Mat. Nauk, 33, No.4, 141–168 (1978).

    Google Scholar 

  3. M. A. Nudel'man, “Sufficient conditions for the absolute stability of optimal passive scattering systems,” Alg. Analiz, 6, No.4, 187–203 (1994).

    Google Scholar 

  4. V. M. Adamyan and D. Z. Arov, “On unitary couplings of semiunitary operators,” Mat. Issled., No. 1, 3–66 (1966).

    Google Scholar 

  5. B. Szokefalvi-Nagy and C. Fois, Analyse Harmonique des Operateurs de l'Espace de Hilbert, Bucharest (1967).

Download references

Author information

Authors and Affiliations

  1. Integrated Banking Information Systems, Odessa, Ukraine

    M. A. Nudel'man

Authors
  1. M. A. Nudel'man
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

__________

Translated from Ukrains'kyi Matematychnyi Zhurnal, Vol. 57, No. 4, pp. 559–563, April, 2005.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Nudel'man, M.A. On Initial Data of a Simple Conservative Scattering System That Can Be Transferred to Zero by a Sequence of Inputs from l 2 . Ukr Math J 57, 671–677 (2005). https://doi.org/10.1007/s11253-005-0218-3

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11253-005-0218-3

Keywords

Search

Navigation