Skip to main content
SpringerLink
Log in

Several order projections generated by ideals of a vector lattice

  • 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

References

  1. E. V. Kolesnikov, “Fragments of a positive operator,” in: Optimizatsiya [in Russian], Inst. Mat. (Novosibirsk), Novosibirsk, 1987, No. 40, pp. 140–146.

    Google Scholar 

  2. C. D. Aliprantis and O. Burkinshaw, Positive Operators, Academic Press, New York (1985). (Pure Appl. Math.;119.)

    Google Scholar 

  3. B. Z. Vulikh, Introduction to the Theory of Partially Ordered Spaces [in Russian], Fizmatgiz, Moscow (1961).

    Google Scholar 

  4. A. V. Bukhvalov, V. B. Korotkov, A. G. Kusraev, et al., Vector Lattices and Integral Operators [in Russian], Nauka, Novosibirsk (1992).

    Google Scholar 

  5. H. H. Shaefer and Zhang Xiao-Dong, “Extension properties of order continuous functionals and applications to the theory of Banach lattices,” Indag. Math. (N. S.),5, No. 1, 107–118 (1994).

    Google Scholar 

  6. C. D. Aliprantis and O. Burkinshaw, “On positive order continuous operators,” Indag. Math. (N. S.),45, No. 1, 1–6 (1983).

    Google Scholar 

  7. E. V. Kolesnikov, A. G. Kusraev, and S. A. Malyugin, On Dominated Operators [in Russian] [Preprint, No. 26], Inst. Mat. (Novosibirsk), Novosibirsk (1988).

    Google Scholar 

  8. A. G. Kusraev and V. Z. Strizhevskii, “Lattice-normed spaces and dominated operators,” in: Studies on Geometry and Mathematical Analysis [in Russian], Trudy Inst. Mat. Vol. 7 (Novosibirsk), Novosibirsk, 1987, pp. 132–157.

    Google Scholar 

  9. A. G. Kusraev and S. A. Malyugin, “On an order continuous component of a dominated operator,” Sibirsk. Mat. Zh.,31, No. 4, 127–139 (1987).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Novosibirsk

    E. V. Kolesnikov

Authors
  1. E. V. Kolesnikov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated fromSibirskii Matematicheskii Zhurnal, Vol. 36, No'. 6, pp. 1342–1349, November–December, 1995.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kolesnikov, E.V. Several order projections generated by ideals of a vector lattice. Sib Math J 36, 1164–1170 (1995). https://doi.org/10.1007/BF02106839

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02106839

Keywords

Search

Navigation