Skip to main content
SpringerLink
Log in

On the maximalC *-algebra of zeros of completely positive mapping and on the boundary of a dynamic semigroup

  • 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

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

References

  1. A. M. Chebotarev, “On the sufficient conditions for a minimal dynamic semigroup to be conservative,”Mat. Zametki,52, No. 4, 112–127 (1992).

    Google Scholar 

  2. B. V. Bhat and K. R. Parthatharathy,Markov dilations of nonconservative dynamic semigroups and quantum boundary theory, Preprint ISI. New Delhi (1993).

  3. W. F. Stinespring, “Positive functions onC *-algebras,”Proc. Am. Math. Soc.,6, No. 2, 221–218 (1955).

    Google Scholar 

  4. K. Kraus,Annals Physics (New York),64, 311–331 (1971).

    Google Scholar 

  5. E. H. Leib and M. B. Ruskai, “Some operator inequalities of Schwartz type”,Adv. Math.,12, 269–273 (1974).

    Google Scholar 

  6. M. A. Neimark,Normed Algebras, Walter-Woordhoff (1972).

  7. A. M. Chebotarev, “The necessary and sufficient conditions for dynamic semigroups to be conservative,” in:Modern Problems of Mathematics. New Advances [in Russian], Vol. 36, VINITI, Moscow (1990), pp. 149–184.

    Google Scholar 

  8. A. M. Chebotarev, “The sufficient conditions for jump-like Markov processes to be regular,”Teor. Veroyatn. Ee Primen.,33, No. 1, 25–39 (1988).

    Google Scholar 

  9. G. Lindblad, “On generators of quantum dynamic semigroups,”Comm. Math. Phys.,48, No. 2, 119–130 (1976).

    Google Scholar 

  10. T. Kato,Theory of Perturbations for Linear Operators [Russian translation], Mir, Moscow (1972).

    Google Scholar 

  11. U. Bratelli and D. Robinson,Operator Algebras and Quantum Statistical Mechanics [Russian translation], Mir, Moscow (1982).

    Google Scholar 

  12. R. Edwards,Functional Analysis [Russian translation], Mir, Moscow (1969).

    Google Scholar 

Download references

Authors
  1. A. M. Chebotarev
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

This research was accomplished with the financial support of the Russian Foundation for Fundamental Research, grant No. 93-012-1075.

Moscow Institute of Electronics and Mathematics. Translated from Matematicheskie Zametki, Vol. 56, No. 6, pp. 88–105, December, 1994.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Chebotarev, A.M. On the maximalC *-algebra of zeros of completely positive mapping and on the boundary of a dynamic semigroup. Math Notes 56, 1271–1282 (1994). https://doi.org/10.1007/BF02266695

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02266695

Keywords

Search

Navigation