Skip to main content
Log in

Criteria for subdifferentials that represent caps and faces

  • 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. S. S. Kutateladze, “The Krein-Mil'man theorem and its converse,” Sib. Mat. Zh.,21, No. 1, 130–138 (1980).

    Google Scholar 

  2. A. W. Wickstead, “Extremal structure of cones of operators,” Q. J. Math.,32, No. 1, 239–253 (1981).

    Google Scholar 

  3. A. G. Kusraev and S. S. Kutateladze, “Local convex analysis,” in: Current Problems in Mathematics [in Russian], R. V. Gamkrelidze (ed.), Vol. 19, Vsesoyuz. Inst. Nauchn. i Tekh. Informatsii, Moscow (1982), pp. 155–206.

    Google Scholar 

  4. A. G. Kusraev and S. S. Kutateladze, “Subdifferentials in Boolean-valued models of set theory,” Sib. Mat. Zh.,24, No. 5, 109–122 (1983).

    Google Scholar 

  5. A. G. Kusraev and S. S. Kutateladze, Expressions in Boolean-Valued Analysis [in Russian], Novosibirsk State Univ. (1984).

  6. R. Phelps, Lectures on Choquet's Theorems, Van Nostrand, Princeton (1961).

    Google Scholar 

  7. L. Asimow, “Extremal structure of well-capped convex sets,” Trans. Am. Math. Soc.,138, 363–382 (1969).

    Google Scholar 

  8. A. G. Kusraev and S. S. Kutateladze, Subdifferential Calculus [in Russian], Novosibirsk State Univ. (1983).

  9. S. S. Kutateladze, “On convex analysis in modules,” Sib. Mat. Zh.,22, No. 4, 118–128 (1981).

    Google Scholar 

  10. R. Holmes, Geometric Functional Analysis and Its Applications, Springer-Verlag, Berlin-New York (1975).

    Google Scholar 

  11. S. S. Kutateladze, “Caps and faces of sets of operators,” Dokl. Akad. Nauk SSSR,280, No. 2, 285–288 (1985).

    Google Scholar 

  12. S. S. Kutateladze, “On nonstandard methods in subdifferential calculus,” in: Partial Differential Equations [in Russian], Nauka, Novosibirsk (1986).

    Google Scholar 

Download references

Authors

Additional information

Novosibirsk. Translated from Sibirskii Maematicheskii Zhurnal, Vol. 27, No. 3, pp. 134–141, May–June, 1986.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kutateladze, S.S. Criteria for subdifferentials that represent caps and faces. Sib Math J 27, 417–423 (1986). https://doi.org/10.1007/BF00969278

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00969278

Navigation