Skip to main content
Log in

Bornological methods in ordered topological vector spaces

  • 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. H. Buchwalter, Topologies, Bornologies et Compactologies, Thse doct. sci. math., Fac. sci. Univ. Lyon, p. 144 (1968).

  2. H. Hogbe-Nlend “Theories des bornologies et applications,” Lect. Notes Math., No. 213, IV, p. 168 (1971).

    Google Scholar 

  3. V. A. Geiler, I. F. Danilenko and I. I. Chuchaev, “The connection between relatively uniform convergence and normality of a cone in an ordered vector space,” in the book: Optimization [in Russian], No. 12 (29), Sibirskii Otdel Akad. Nauk SSSR, Novosibirsk (1973), pp. 29–33.

    Google Scholar 

  4. B. Z. Vulikh, An Introduction to the Theory of Semiordered Spaces [in Russian], Fizmatgiz (1961).

  5. H. Schiffer, Topological Vector Spaces [Russian translation], Mir (1971).

  6. S. O. Iyahen, “On certain classes of linear topological spaces,” Proc. London Math. Soc., No. 2, pp. 285–307 (1968).

    Google Scholar 

  7. S. Mazur and W. Orlicz, “Sur les espaces lineaires metriques, I,” Studia Math.,10, pp. 184–208 (1948).

    Google Scholar 

  8. J.-P. Ligaud, “Classes d'espaces vectoriels topologiques possedant la propriete de Mazur et Orlicz,” Comtes Rendus Acad. Sci., A,273, No. 25, pp. 1233–1235 (1971).

    Google Scholar 

  9. G. Jameson, “Ordered linear spaces,” Lect. Notes Math., No. 141, XVI, p. 194 (1970).

    Google Scholar 

  10. I. I. Chuchaev, “A generalization of the concept of solid and infrasolid cone,” Sibir. Mat. Zhur.,15, No. 3, pp. 609–615 (1974).

    Google Scholar 

  11. D. A. Raikov, “A two-sided closed graph theorem for topological linear spaces,” Sibir. Mat. Zhur.,7, No. 2, pp. 353–372 (1966).

    Google Scholar 

  12. M. De Wilde, “Reseaux dans les espaces lineaires a seminormes,” Mem. Soc. Roy. Sci. Liege,18, No. 2, pp. 1–144 (1969).

    Google Scholar 

  13. G. Ya. Lozanovskii, “The completeness of linear functions in semiorder spaces,” Mat. Zameti,8, No. 2, pp. 187–195 (1970).

    Google Scholar 

  14. Y.-C. Wong, “The relationship between order completeness and topological completeness,” Mat. Ann.,199, No. 1, 73–82 (1972).

    Google Scholar 

  15. M. De Wilde and C. Sunyach, “Un theoreme de selection pour des applications a graphe borelien,” Comtes Rendus Acad. Sci., A.,269, No. 6, pp. 273–274 (1969).

    Google Scholar 

Download references

Authors

Additional information

Translated from Sibirskii Matematicheskii Zhurnal, Vol. 16, No. 3, pp. 501–509, May–June, 1974.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Geiler, V.A., Danilenko, I.F. & Chuchaev, I.I. Bornological methods in ordered topological vector spaces. Sib Math J 16, 383–389 (1975). https://doi.org/10.1007/BF00967529

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00967529

Keywords

Navigation