Skip to main content
SpringerLink
Log in

Banach-Kantorovich 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

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

Literature Cited

  1. L. V. Kantorovich, “The method of successive approximation for functional equations,” Acta Math.,71, 63–97 (1939).

    Google Scholar 

  2. L. V. Kantorovich, B. Z. Vulikh, and A. G. Pinsker, Functional Analysis in Semiordered Spaces [in Russian], Gostekhizdat, Moscow-Leningrad (1950).

    Google Scholar 

  3. B. Z. Vulikh, Introduction to the Theory of Partially ordered Spaces, Gordan and Breach (1967).

  4. G. P. Akilov and S. S. Kutateladze, Ordered Vector Spaces [in Russian], Nauka, Novosibirsk (1978).

    Google Scholar 

  5. N. Dinculeanu, Vector Measures, Deutscher Verl. der Wissenschaften, Berlin (1966).

    Google Scholar 

  6. A. V. Bukhvalov, “The space of vector-functions and tensor products,” Sib. Mat. Zh.,13, No. 6, 1229–1238 (1972).

    Google Scholar 

  7. A. V. Bukhvalov, “On the duality of functors generated by spaces of vector-functions,” Izv. Akad. Nauk SSSR, Ser. Mat.,39, No. 6, 1285–1309 (1975).

    Google Scholar 

  8. V. L. Levin, “Tensor products and functors in categories of Banach spaces, defined by KB-lineals,” Tr. Mosk. Mat. Ob-va,20, 43–82 (1969).

    Google Scholar 

  9. A. I. Veksler and V. A. Geiler, “On ordered and disjoint completeness of linear semiordered spaces,” Sib. Mat. Zh.,13, No. 4, 43–51 (1972).

    Google Scholar 

  10. Yu. I. Manin, The Provable and the Unprovable [in Russian], Sov. Radio, Moscow (1979).

    Google Scholar 

  11. T. Joch, Set Theory and the Forcing Method [Russian translation], Mir, Moscow (1973).

    Google Scholar 

  12. R. Solovay and S. Tennenbaum, “Iterated Cohen extensions and Souslin's problem,” Ann. Math.,94, No. 2, 201–245 (1973).

    Google Scholar 

  13. E. I. Gordon, “Real numbers in Boolean-valued models of set theory and K-spaces,” Dokl. Akad. Nauk SSSR,237, No. 4, 773–775 (1977).

    Google Scholar 

  14. E. I. Gordon, “K-spaces in Boolean-valued models of set theory,” Dokl. Akad. Nauk SSSR,258, No. 4, 777–780 (1981).

    Google Scholar 

  15. W. A. J. Luxemburg and A. R. Schep, “A Radon-Nikodim type theorem for positive operators and a dual,” Indag. Math.,81, No. 3, 357–375 (1978).

    Google Scholar 

  16. A. G. Kusraev, “Some applications of the theory of Boolean-valued models in functional analysis” (Preprint IM Sib. Otd. Akad. Nauk SSSR), Novosibirsk (1982).

    Google Scholar 

  17. A. G. Kusraev, “Boolean-valued analysis of the duality of extension of models,” Dokl. Akad. Nauk SSSR,267, No. 5, 1049–1052 (1982).

    Google Scholar 

Download references

Authors
  1. A. G. Kusraev
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Novosibirsk. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 26, No. 2, pp. 119–126, March–April, 1985.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kusraev, A.G. Banach-Kantorovich spaces. Sib Math J 26, 254–259 (1985). https://doi.org/10.1007/BF00968770

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00968770

Search

Navigation