Skip to main content
Log in

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. I. Gurarii and M. I. Kadets, “On minimal systems and quasicomplements in a Banach space,” Dokl. Akad. Nauk SSSR,145, No. 2, 256–258 (1962).

    Google Scholar 

  2. V. D. Mil'man, “The geometric theory of Banach spaces, Part 1,” Usp. Mat. Nauk,25, No. 3, 114–173 (1970).

    Google Scholar 

  3. H. P. Rosenthal, “On quasicomplemented subspaces with an appendix on compactness of opertors from Lp(μ) to Lr(v),” J. Functional Anal.,4, 176–214 (1969).

    Google Scholar 

  4. W. B. Johnson, “On quasicomplements,” Pac. J. Math.,48, No. 1, 113–118 (1973).

    Google Scholar 

  5. J. Lindenstrauss and L. Tzafriri, Classical Banach Spaces. I, Springer-Verlag, New York-Berlin (1977).

    Google Scholar 

  6. B. V. Godun, “On complete biorthogonal systems in Banach spaces,” Funkts. Anal. Prilozhen.,17, No. 1, 1–7 (1983).

    Google Scholar 

  7. M. M. Day, Normed Linear Spaces, 3rd edn., Springer-Verlag, Berlin-New York (1973).

    Google Scholar 

  8. W. B. Johnson and J. Lindenstrauss, “Some remarks on weakly compactly generated Banach spaces,” Israel J. Math.,17, 219–230 (1974).

    Google Scholar 

  9. W. B. Johnson, “No infinite-dimensional p-space admits a Markushevich basis,” Proc. Am. Math. Soc.,26, No. 3, 467–468 (1970).

    Google Scholar 

  10. R. Edwards, Functional Analysis, Holt, Rinehart, and Winston, New York (1965).

  11. H. P. Rosenthal, “A characterization of Banach spaces containing ℓ1,” Proc. Natl. Acad. Sci. USA,71, 2411–2413 (1974).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Matematicheskie Zametki, Vol. 36, No. 1, pp. 117–121, July, 1984.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Godun, B.V. Quasicomplements and minimal systems inι . Mathematical Notes of the Academy of Sciences of the USSR 36, 551–553 (1984). https://doi.org/10.1007/BF01139558

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01139558

Keywords

Navigation