Skip to main content
Log in

Unconditional bases in certain Köthe 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. M. M. Dragilev, “On regular bases in nuclear spaces,” Mat. Sb.,68, No. 2, 153–173 (1965).

    Google Scholar 

  2. V. P. Kondakov, “On a generalization of the spaces of power series,” in: Actual Questions of Mathematical Analysis, Rostov State Univ., Rostov-on-the-Don (1978), pp. 92–99.

    Google Scholar 

  3. V. P. Kondakov, “Imbedding of Köthe spaces and equivalence of bases,” Izv. Severo-Kavkaz. Nauchn. Tsentra Vyssh. Shkoly, Ser. Estestv. Nauki, No. 3, 21–25 (1980).

    Google Scholar 

  4. T. Komura and Y. Komura, “Über die Einbettung der nuklearen Räumen in (s)S,” Math. Ann.,162, 284–288 (1966).

    Google Scholar 

  5. E. Dubinsky, “Basic sequences in (s),” Stud. Math.,59, 283–293 (1977).

    Google Scholar 

  6. D. Vogt, “Charakterisierung der Unterräume von s,” Math. Z.,155, No. 2, 109–117 (1977).

    Google Scholar 

  7. M.-J. Wagner, “Quotientenräume von stabilen Potenzreiheräumen endlichen Typs,” Manuscr. Math.,31, 97–109 (1980).

    Google Scholar 

  8. V. V. Kasirin, “Comparison of linear dimensions of some generalized power series spaces,” Bull. Acad. Polon. Sci. Ser. Math.,27, Nos. 7–8, 567–569 (1979).

    Google Scholar 

  9. C. Bessaga, “Some remarks on Dragilev's theorem,” Stud. Math.,31, 307–318 (1968).

    Google Scholar 

  10. E. R. Lorch, “Bicontinuous linear transformations in certain vector spaces,” Bull. Am. Math. Soc.,45, 564–569 (1939).

    Google Scholar 

  11. J. Lindenstrausa and A. Pelczynski, “Absolutely summing operators in ℒ p and their applications,” Stud. Math.,29, 275–326 (1968).

    Google Scholar 

  12. V. P. Kondakov, “Properties of bases of certain Köthe spaces and their subspaces,” Funkts. Anal. Prilozhen.,14, No. 1, 58–59 (1980).

    Google Scholar 

  13. V. P. Kondakov, “On orderable absolute bases in F-spaces,” Dokl. Akad. Nauk SSSR,247, No. 3, 543–546 (1979).

    Google Scholar 

  14. M. Hall, Jr., Combinatorial Theory, Blaisdell, Waltham (1967).

    Google Scholar 

  15. I. M. Gel'fand and N. Ya. Vilenkin, Generalized Functions, Vol. 4, Applications of Harmonic Analysis, Academic Press, New York (1964).

    Google Scholar 

  16. R. E. Edwards, Functional Analysis, Theory and Applications, Holt, Rinehart, and Winston, New York (1965).

    Google Scholar 

Download references

Authors

Additional information

Translated from Sibirskii Matematicheskii Zhurnal, Vol. 25, No. 3, pp. 109–119, May–June, 1984.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kondakov, V.P. Unconditional bases in certain Köthe spaces. Sib Math J 25, 429–438 (1984). https://doi.org/10.1007/BF00968983

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00968983

Keywords

Navigation