Skip to main content
Log in

Extension of monotone norm from a normed structure to its Dedekind augmentation

  • 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. B. Z. Vulikh, Introduction to The Theory of Partially Ordered Spaces, Fizmatgiz, Moscow (1961).

    Google Scholar 

  2. B. Z. Vulikh, Linear Structures Equivalent to Structures with Monotone Norm, Doklady Ak. Nauk SSSR,147, No. 2, 290–292 (1962).

    Google Scholar 

  3. L. V. Kantorovich and G. P. Akilov, Functional Analysis In Normed Spaces, Fizmatgiz, Moscow-Leningrad (1959).

    Google Scholar 

  4. L. V. Kantorovich, B. Z. Vulikh, and A. G. Pinsker, Functional Analysis In Partially Ordered Spaces, GITTL, Moscow-Leningrad (1950).

    Google Scholar 

  5. W. A. J. Luxemburg and A. C. Zaanen, Notes on Banach Function Spaces, Proc. Koninkl. Nederl. Acad. Wet.,67, No. 4, 493–506 (1964).

    Google Scholar 

  6. A. I. Weksler, Homomorphism Between Classes of Regular Operators in K-Lineals and Their Augmentations, Izv. Vyssh. Uch. Zavedenii, Matematika, No. 1, 48–57 (1960).

    Google Scholar 

  7. B. M. Makarov, Topological Equivalence of B-Spaces, Dokl. Ak. Nauk SSSR,107, No. 1, 17–18 (1956).

    Google Scholar 

Download references

Authors

Additional information

Translated from Sibirskii Matematicheskii Zhurnal, Vol. 7, No. 6, pp. 1360–1369, November–December, 1966.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Solov'ev, V.A. Extension of monotone norm from a normed structure to its Dedekind augmentation. Sib Math J 7, 1067–1073 (1966). https://doi.org/10.1007/BF00966403

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00966403

Keywords

Navigation