Skip to main content
Log in

Inner characterizations of certain classes of support sets

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

    Google Scholar 

  2. Yu. É. Linke, “Support sets of sublinear operators,” Dokl. Akad. Nauk SSSR,207, No. 3, 531–533 (1972).

    Google Scholar 

  3. A. M. Rubinov, “Sublinear operators and operator-convex sets,” Sib. Mat. Zh.,17, No. 2, 370–380 (1976).

    Google Scholar 

  4. A. M. Rubinov, “Sublinear operators and their applications,” Usp. Mat. Nauk,32, No. 4, 113–174 (1977).

    Google Scholar 

  5. S. S. Kutateladze, “Subdifferentials of convex operators,” Sib. Mat. Zh.,18, No. 5, 1057–1064 (1977).

    Google Scholar 

  6. S. S. Kutateladze, “Extreme points of subdifferentials,” Dokl. Akad. Nauk SSSR,242, No. 5, 1001–1003 (1978).

    Google Scholar 

  7. V. A. Levashov, “The extremal structure of convex sets in semitopological vector spaces,” in: The Application of Functional Analysis to Approximation Theory [in Russian], Kalinin (1978), pp. 82–107.

  8. A. Ya. Zaslavskii, “The inner characteristic of support sets,” in: The Application of Functional Analysis to Approximation Theory [in Russian], Kalinin (1978), pp. 36–41.

  9. D. K. Oates, “A noncompact Krein-Milman theorem,” Pac. J. Math.,36, No. 3, 781–785 (1971).

    Google Scholar 

  10. P. D. Morris and R. R. Phelps, “Theorems of Krein-Milman type for certain convex sets of operators,” Trans. Am. Math. Soc.,150, No. 1, 183–200 (1970).

    Google Scholar 

  11. H. H. Schaefer, Banach Lattices and Positive Operators, Springer-Verlag, Berlin (1974).

    Google Scholar 

  12. V. A. Levashov, “Semitopological vector spaces,” in: The Application of Functional Analysis to Approximation Theory [in Russian], Vol. 7, Kalinin (1977), pp. 92–102.

  13. B. Z. Vulikh, Introduction to the Theory of Partially Ordered Spaces, Gordon and Breach (1967).

  14. G. Jameson, Ordered Linear Spaces, Springer-Verlag, Berlin (1970).

    Google Scholar 

  15. Y. C. Wong and K. F. Ng, Partially Ordered Topological Vector Spaces, Clarendon Press, Oxford (1973).

    Google Scholar 

  16. I. Amemia, “On ordered topological linear spaces,” Proc. Linear Spaces, Israel Acad. Sci. and Human., Jerusalem (1961).

  17. D. H. Fremlin, “Abstract Köthe spaces. I,” Proc. Cambridge Philos. Soc.,63, 653–660 (1967).

    Google Scholar 

Download references

Authors

Additional information

Kalinin State University, Kalinin. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 21, No. 3, pp. 131–143, May–June, 1980.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Levashov, V.A. Inner characterizations of certain classes of support sets. Sib Math J 21, 412–420 (1980). https://doi.org/10.1007/BF00968186

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00968186

Navigation