Skip to main content
Log in

On sufficient conditions for the existence of supports to sublinear operators

  • Published:
Siberian Mathematical Journal 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.

Literature Cited

  1. L. V. Kantorovich, “On partially ordered linear spaces and their applications to the theory of linear operations,” Dokl. Akad. Nauk SSSR,4, No. 1, 11–14 (1935).

    Google Scholar 

  2. W. E. Bonnice and R. L. Silverman, “The Hahn-Banach extension and the least upper bound properties are equivalent,” Proc. Amer. Math. Soc.,18, 843–849 (1967).

    Google Scholar 

  3. T. O. To, “The equivalence of the least upper bound property and the Hahn-Banach extension property in ordered linear spaces,” Proc. Amer. Math. Soc.,30, No. 2, 287–295 (1971).

    Google Scholar 

  4. S. Mazur and W. Orlicz, “Sur les espaces métriques linéares,” Studia Math.,13, No. 2, 137–179 (1953).

    Google Scholar 

  5. B. Z. Vylikh, Introduction to the Theory of Partially Ordered Spaces [in Russian], Fizmatgiz, Moscow (1961).

    Google Scholar 

  6. P. M. Cohn, Universal Algebra, Harper and Row, New York (1965).

    Google Scholar 

  7. V. L. Levin, “Subdifferentials of convex mappings and composite functions,” Sib. Matem. Zh.,13, No. 6, 1295–1303 (1972).

    Google Scholar 

  8. R. Rockfeller, Convex Analysis, Princeton University Press, Princeton (1970).

    Google Scholar 

  9. N. Burbaki, Functions of a Real Variable [Russian translation] Nauka, Moscow (1965).

    Google Scholar 

  10. É. Yu. Linke, “On the existence of supporting linear operators to sublinear operators with values in C(Q),” in: Optimization [in Russian], No. 8, Izd. In-ta Mat., SO AN SSSR, Novosibirsk (1972), pp. 52–70.

    Google Scholar 

Download references

Authors

Additional information

Translated from Sibirskii Matematicheskii Zhurnal, Vol. 16, No. 1, pp. 132–138, January–February, 1975.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Fel'dman, M.M. On sufficient conditions for the existence of supports to sublinear operators. Sib Math J 16, 106–111 (1975). https://doi.org/10.1007/BF00967467

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00967467

Keywords

Navigation